21221120012100 has 72 divisors (see below), whose sum is σ = 61717907613600. Its totient is φ = 5629644257280.

The previous prime is 21221120012011. The next prime is 21221120012143. The reversal of 21221120012100 is 121002112212.

It is a super-2 number, since 2×21221120012100² (a number of 27 digits) contains 22 as substring.

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 21221120012100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183198750 + ... + 183314549.

It is an arithmetic number, because the mean of its divisors is an integer number (857193161300).

Almost surely, 2^{21221120012100} is an apocalyptic number.

21221120012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221120012100 is an abundant number, since it is smaller than the sum of its proper divisors (40496787601500).

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

21221120012100 is a wasteful number, since it uses less digits than its factorization.

21221120012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366513509 (or 366513502 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21221120012100 its reverse (121002112212), we get a palindrome (21342122124312).

The spelling of 21221120012100 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred twenty million, twelve thousand, one hundred".