2122112012100 has 144 divisors (see below), whose sum is σ = 6463807123200. Its totient is φ = 536056686720.

The previous prime is 2122112012077. The next prime is 2122112012113. The reversal of 2122112012100 is 12102112212.

It is a super-2 number, since 2×2122112012100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2122112012100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99961687 + ... + 99982913.

Almost surely, 2^{2122112012100} is an apocalyptic number.

2122112012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122112012100 is an abundant number, since it is smaller than the sum of its proper divisors (4341695111100).

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

2122112012100 is a wasteful number, since it uses less digits than its factorization.

2122112012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38802 (or 38795 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2122112012100 its reverse (12102112212), we get a palindrome (2134214124312).

The spelling of 2122112012100 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, twelve thousand, one hundred".