20121010102100 has 72 divisors (see below), whose sum is σ = 43862028275520. Its totient is φ = 8011721294080.

The previous prime is 20121010102087. The next prime is 20121010102121. The reversal of 20121010102100 is 120101012102.

It is a congruent number.

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, 19713944 + ... + 20709456.

It is an arithmetic number, because the mean of its divisors is an integer number (609194837160).

Almost surely, 2^{20121010102100} is an apocalyptic number.

20121010102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121010102100 is an abundant number, since it is smaller than the sum of its proper divisors (23741018173420).

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

20121010102100 is a wasteful number, since it uses less digits than its factorization.

20121010102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996449 (or 996442 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20121010102100 its reverse (120101012102), we get a palindrome (20241111114202).

The spelling of 20121010102100 in words is "twenty trillion, one hundred twenty-one billion, ten million, one hundred two thousand, one hundred".