21102101012100 has 144 divisors (see below), whose sum is σ = 64091495881728. Its totient is φ = 5350333676160.

The previous prime is 21102101012071. The next prime is 21102101012119. The reversal of 21102101012100 is 121010120112.

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, 8004214 + ... + 10308813.

It is an arithmetic number, because the mean of its divisors is an integer number (445079832512).

Almost surely, 2^{21102101012100} is an apocalyptic number.

21102101012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21102101012100 is an abundant number, since it is smaller than the sum of its proper divisors (42989394869628).

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

21102101012100 is a wasteful number, since it uses less digits than its factorization.

21102101012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18313234 (or 18313227 counting only the distinct ones).

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

Adding to 21102101012100 its reverse (121010120112), we get a palindrome (21223111132212).

The spelling of 21102101012100 in words is "twenty-one trillion, one hundred two billion, one hundred one million, twelve thousand, one hundred".