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121022102222100 = 223352114673908869
BaseRepresentation
bin11011100001000110100111…
…011010011011010100010100
3120212111121012101102200021000
4123201012213122123110110
5111330311231132101400
61105220441454423300
734330362340550412
oct3341064732332424
9525447171380230
10121022102222100
113561a204734762
12116a6a89201b30
13526b448788531
1421c5702a662b2
15ded0e148d600
hex6e11a769b514

121022102222100 has 144 divisors (see below), whose sum is σ = 389097675668800. Its totient is φ = 32269737951360.

The previous prime is 121022102222009. The next prime is 121022102222143. The reversal of 121022102222100 is 1222201220121.

It is a happy number.

121022102222100 is a `hidden beast` number, since 1 + 2 + 10 + 221 + 0 + 222 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29006466 + ... + 32915334.

Almost surely, 2121022102222100 is an apocalyptic number.

121022102222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121022102222100 is an abundant number, since it is smaller than the sum of its proper divisors (268075573446700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121022102222100 is a wasteful number, since it uses less digits than its factorization.

121022102222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920359 (or 3920346 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121022102222100 its reverse (1222201220121), we get a palindrome (122244303442221).

The spelling of 121022102222100 in words is "one hundred twenty-one trillion, twenty-two billion, one hundred two million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 11467 22934 34401 45868 57335 68802 103203 114670 137604 172005 206406 229340 286675 309609 344010 412812 516015 573350 619218 688020 860025 1032030 1146700 1238436 1548045 1720050 2064060 2580075 3096090 3440100 3908869 5160150 6192180 7740225 7817738 10320300 11726607 15480450 15635476 19544345 23453214 30960900 35179821 39088690 46906428 58633035 70359642 78177380 97721725 105539463 117266070 140719284 175899105 195443450 211078926 234532140 293165175 351798210 390886900 422157852 527697315 586330350 703596420 879495525 1055394630 1172660700 1758991050 2110789260 2638486575 3517982100 5276973150 10553946300 44823000823 89646001646 134469002469 179292003292 224115004115 268938004938 403407007407 448230008230 537876009876 672345012345 806814014814 896460016460 1120575020575 1210221022221 1344690024690 1613628029628 2017035037035 2241150041150 2420442044442 2689380049380 3361725061725 4034070074070 4482300082300 4840884088884 6051105111105 6723450123450 8068140148140 10085175185175 12102210222210 13446900246900 20170350370350 24204420444420 30255525555525 40340700740700 60511051111050 121022102222100