2112110112100 has 72 divisors (see below), whose sum is σ = 4865689513440. Its totient is φ = 793049080320.

The previous prime is 2112110112059. The next prime is 2112110112137. The reversal of 2112110112100 is 12110112112.

It is a happy number.

It is a super-2 number, since 2×2112110112100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 994774 + ... + 2283373.

It is an arithmetic number, because the mean of its divisors is an integer number (67579021020).

Almost surely, 2^{2112110112100} is an apocalyptic number.

2112110112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112110112100 is an abundant number, since it is smaller than the sum of its proper divisors (2753579401340).

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

2112110112100 is a wasteful number, since it uses less digits than its factorization.

2112110112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278557 (or 3278550 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2112110112100 its reverse (12110112112), we get a palindrome (2124220224212).

The spelling of 2112110112100 in words is "two trillion, one hundred twelve billion, one hundred ten million, one hundred twelve thousand, one hundred".