21225102640100 has 36 divisors (see below), whose sum is σ = 46088207392500. Its totient is φ = 8484560012160.

The previous prime is 21225102640057. The next prime is 21225102640177. The reversal of 21225102640100 is 104620152212.

It can be written as a sum of positive squares in 6 ways, for example, as 287321728576 + 20937780911524 = 536024^2 + 4575782^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21225102640100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68357375 + ... + 68667174.

It is an arithmetic number, because the mean of its divisors is an integer number (1280227983125).

Almost surely, 2^{21225102640100} is an apocalyptic number.

21225102640100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21225102640100 is an abundant number, since it is smaller than the sum of its proper divisors (24863104752400).

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

21225102640100 is a wasteful number, since it uses less digits than its factorization.

21225102640100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137026112 (or 137026105 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 21225102640100 its reverse (104620152212), we get a palindrome (21329722792312).

The spelling of 21225102640100 in words is "twenty-one trillion, two hundred twenty-five billion, one hundred two million, six hundred forty thousand, one hundred".