20100212102100 has 72 divisors (see below), whose sum is σ = 62630199362080. Its totient is φ = 4947744516480.

The previous prime is 20100212102017. The next prime is 20100212102167. The reversal of 20100212102100 is 120121200102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2576946370 + ... + 2576954169.

Almost surely, 2^{20100212102100} is an apocalyptic number.

20100212102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100212102100 is an abundant number, since it is smaller than the sum of its proper divisors (42529987259980).

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

20100212102100 is a wasteful number, since it uses less digits than its factorization.

20100212102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5153900569 (or 5153900562 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20100212102100 its reverse (120121200102), we get a palindrome (20220333302202).

The spelling of 20100212102100 in words is "twenty trillion, one hundred billion, two hundred twelve million, one hundred two thousand, one hundred".