21220202012100 has 288 divisors, whose sum is σ = 77608002936576. Its totient is φ = 4356223027200.

The previous prime is 21220202012083. The next prime is 21220202012129. The reversal of 21220202012100 is 121020202212.

21220202012100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 21220202012100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9493911 + ... + 11514110.

Almost surely, 2^{21220202012100} is an apocalyptic number.

21220202012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220202012100 is an abundant number, since it is smaller than the sum of its proper divisors (56387800924476).

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

21220202012100 is a wasteful number, since it uses less digits than its factorization.

21220202012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21008095 (or 21008088 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21220202012100 its reverse (121020202212), we get a palindrome (21341222214312).

The spelling of 21220202012100 in words is "twenty-one trillion, two hundred twenty billion, two hundred two million, twelve thousand, one hundred".