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121110020100 = 223352145330871
BaseRepresentation
bin111000011001010111…
…0000100000000000100
3102120121100212110211000
41300302232010000010
53441013131120400
6131345344013300
711515135120416
oct1606256040004
9376540773730
10121110020100
11473a94a3703
121b57b601230
13b561165ab4
145c0c9329b6
15323c66a600
hex1c32b84004

121110020100 has 144 divisors (see below), whose sum is σ = 389626867840. Its totient is φ = 32272732800.

The previous prime is 121110020051. The next prime is 121110020159. The reversal of 121110020100 is 1020011121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3907665 + ... + 3938535.

Almost surely, 2121110020100 is an apocalyptic number.

121110020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121110020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194813433920).

121110020100 is an abundant number, since it is smaller than the sum of its proper divisors (268516847740).

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

121110020100 is a wasteful number, since it uses less digits than its factorization.

121110020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32347 (or 32334 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121110020100 its reverse (1020011121), we get a palindrome (122130031221).

The spelling of 121110020100 in words is "one hundred twenty-one billion, one hundred ten million, twenty 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 1453 2700 2906 4359 5812 7265 8718 13077 14530 17436 21795 26154 29060 30871 36325 39231 43590 52308 61742 65385 72650 78462 87180 92613 108975 123484 130770 145300 154355 156924 185226 196155 217950 261540 277839 308710 326925 370452 392310 435900 463065 555678 617420 653850 771775 784620 833517 926130 980775 1111356 1307700 1389195 1543550 1667034 1852260 1961550 2315325 2778390 3087100 3334068 3923100 4167585 4630650 5556780 6945975 8335170 9261300 13891950 16670340 20837925 27783900 41675850 44855563 83351700 89711126 134566689 179422252 224277815 269133378 403700067 448555630 538266756 672833445 807400134 897111260 1121389075 1211100201 1345666890 1614800268 2018500335 2242778150 2422200402 2691333780 3364167225 4037000670 4485556300 4844400804 6055501005 6728334450 8074001340 10092501675 12111002010 13456668900 20185003350 24222004020 30277505025 40370006700 60555010050 121110020100