21211010012100 has 144 divisors (see below), whose sum is σ = 64984928073408. Its totient is φ = 5323189186560.

The previous prime is 21211010012089. The next prime is 21211010012141. The reversal of 21211010012100 is 121001011212.

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

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, 80126559 + ... + 80390841.

It is an arithmetic number, because the mean of its divisors is an integer number (451284222732).

Almost surely, 2^{21211010012100} is an apocalyptic number.

21211010012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211010012100 is an abundant number, since it is smaller than the sum of its proper divisors (43773918061308).

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

21211010012100 is a wasteful number, since it uses less digits than its factorization.

21211010012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280054 (or 280047 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21211010012100 its reverse (121001011212), we get a palindrome (21332011023312).

The spelling of 21211010012100 in words is "twenty-one trillion, two hundred eleven billion, ten million, twelve thousand, one hundred".