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110021120121 = 311311013313217
BaseRepresentation
bin110011001110111000…
…1010001000001111001
3101111222120010222201210
41212131301101001321
53300310401320441
6122313142233333
710643266043103
oct1463561210171
9344876128653
10110021120121
1142729065a60
12193a5a25849
13a4b49b3113
145479d20573
152cdddba616
hex199dc51079

110021120121 has 64 divisors (see below), whose sum is σ = 167384604672. Its totient is φ = 63676800000.

The previous prime is 110021120113. The next prime is 110021120161. The reversal of 110021120121 is 121021120011.

It is not a de Polignac number, because 110021120121 - 23 = 110021120113 is a prime.

It is a super-2 number, since 2×1100211201212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110021120097 and 110021120106.

It is not an unprimeable number, because it can be changed into a prime (110021120161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34198305 + ... + 34201521.

It is an arithmetic number, because the mean of its divisors is an integer number (2615384448).

Almost surely, 2110021120121 is an apocalyptic number.

110021120121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110021120121 is a deficient number, since it is larger than the sum of its proper divisors (57363484551).

110021120121 is a wasteful number, since it uses less digits than its factorization.

110021120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694.

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

Adding to 110021120121 its reverse (121021120011), we get a palindrome (231042240132).

The spelling of 110021120121 in words is "one hundred ten billion, twenty-one million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 11 31 33 93 101 303 331 341 993 1023 1111 3131 3217 3333 3641 9393 9651 10261 10923 30783 33431 34441 35387 99727 100293 103323 106161 112871 299181 324917 338613 367741 974751 1036361 1064827 1096997 1103223 3109083 3194481 3290991 3574087 10072427 10722261 11399971 11713097 30217281 33009637 34199913 35139291 99028911 107547527 110796697 322642581 332390091 363106007 1089318021 1183022797 3333973337 3549068391 10001920011 36673706707 110021120121