111100112121 has 64 divisors (see below), whose sum is σ = 166875206400. Its totient is φ = 65442843648.

The previous prime is 111100112083. The next prime is 111100112147. The reversal of 111100112121 is 121211001111.

It is not a de Polignac number, because 111100112121 - 2¹⁴ = 111100095737 is a prime.

It is a super-2 number, since 2×111100112121² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 111100112097 and 111100112106.

It is not an unprimeable number, because it can be changed into a prime (111100112171) 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, 74915046 + ... + 74916528.

It is an arithmetic number, because the mean of its divisors is an integer number (2607425100).

Almost surely, 2^111100112121 is an apocalyptic number.

It is an amenable number.

111100112121 is a deficient number, since it is larger than the sum of its proper divisors (55775094279).

111100112121 is an equidigital number, since it uses as much as digits as its factorization.

111100112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 111100112121 its reverse (121211001111), we get a palindrome (232311113232).

The spelling of 111100112121 in words is "one hundred eleven billion, one hundred million, one hundred twelve thousand, one hundred twenty-one".