112121111021000 has 64 divisors (see below), whose sum is σ = 262415047854960. Its totient is φ = 44839615680000.

The previous prime is 112121111020967. The next prime is 112121111021053. The reversal of 112121111021000 is 120111121211.

It can be written as a sum of positive squares in 8 ways, for example, as 12236157912484 + 99884953108516 = 3498022^2 + 9994246^2 .

It is a super-2 number, since 2×112121111021000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5952371 + ... + 16114370.

Almost surely, 2^{112121111021000} is an apocalyptic number.

112121111021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112121111021000 is an abundant number, since it is smaller than the sum of its proper divisors (150293936833960).

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

112121111021000 is a wasteful number, since it uses less digits than its factorization.

112121111021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22071843 (or 22071829 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 112121111021000 its reverse (120111121211), we get a palindrome (112241222142211).

The spelling of 112121111021000 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred eleven million, twenty-one thousand".