21131112020100 has 288 divisors, whose sum is σ = 62911868382720. Its totient is φ = 5472866304000.

The previous prime is 21131112020093. The next prime is 21131112020111. The reversal of 21131112020100 is 102021113112.

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 21131112020100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7576589506 + ... + 7576592294.

It is an arithmetic number, because the mean of its divisors is an integer number (218443987440).

Almost surely, 2^{21131112020100} is an apocalyptic number.

21131112020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21131112020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31455934191360).

21131112020100 is an abundant number, since it is smaller than the sum of its proper divisors (41780756362620).

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

21131112020100 is a wasteful number, since it uses less digits than its factorization.

21131112020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5391 (or 5384 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 21131112020100 its reverse (102021113112), we get a palindrome (21233133133212).

The spelling of 21131112020100 in words is "twenty-one trillion, one hundred thirty-one billion, one hundred twelve million, twenty thousand, one hundred".