2122102012100 has 72 divisors (see below), whose sum is σ = 5263614648768. Its totient is φ = 727467004800.

The previous prime is 2122102012073. The next prime is 2122102012117. The reversal of 2122102012100 is 12102012212.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 4435139 + ... + 4890261.

Almost surely, 2^{2122102012100} is an apocalyptic number.

2122102012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122102012100 is an abundant number, since it is smaller than the sum of its proper divisors (3141512636668).

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

2122102012100 is a wasteful number, since it uses less digits than its factorization.

2122102012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461805 (or 461798 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2122102012100 its reverse (12102012212), we get a palindrome (2134204024312).

The spelling of 2122102012100 in words is "two trillion, one hundred twenty-two billion, one hundred two million, twelve thousand, one hundred".