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1021100121120 = 25352392490953
BaseRepresentation
bin11101101101111100100…
…11110101110000100000
310121121122020000122012110
432312332103311300200
5113212203112333440
62101030435155320
7133525545552102
oct16667623656040
93547566018173
101021100121120
11364056442222
12145a90445b40
137539b867301
14375c889d572
151b863d8e080
hexedbe4f5c20

1021100121120 has 96 divisors (see below), whose sum is σ = 3356311738752. Its totient is φ = 260454520832.

The previous prime is 1021100121091. The next prime is 1021100121121. The reversal of 1021100121120 is 211210011201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×10211001211203 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1021100121096 and 1021100121105.

It is not an unprimeable number, because it can be changed into a prime (1021100121121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46234437 + ... + 46256516.

It is an arithmetic number, because the mean of its divisors is an integer number (34961580612).

Almost surely, 21021100121120 is an apocalyptic number.

1021100121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021100121120 is an abundant number, since it is smaller than the sum of its proper divisors (2335211617632).

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

1021100121120 is a wasteful number, since it uses less digits than its factorization.

1021100121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92490994 (or 92490986 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1021100121120 its reverse (211210011201), we get a palindrome (1232310132321).

The spelling of 1021100121120 in words is "one trillion, twenty-one billion, one hundred million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 11040 92490953 184981906 277472859 369963812 462454765 554945718 739927624 924909530 1109891436 1387364295 1479855248 1849819060 2127291919 2219782872 2774728590 2959710496 3699638120 4254583838 4439565744 5549457180 6381875757 7399276240 8509167676 8879131488 10636459595 11098914360 12763751514 14798552480 17018335352 21272919190 22197828720 25527503028 31909378785 34036670704 42545838380 44395657440 51055006056 63818757570 68073341408 85091676760 102110012112 127637515140 170183353520 204220024224 255275030280 340366707040 510550060560 1021100121120