21002101100120 has 64 divisors (see below), whose sum is σ = 56353463838720. Its totient is φ = 6887645576064.

The previous prime is 21002101100077. The next prime is 21002101100171. The reversal of 21002101100120 is 2100110120012.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1630591472 + ... + 1630604351.

It is an arithmetic number, because the mean of its divisors is an integer number (880522872480).

Almost surely, 2^{21002101100120} is an apocalyptic number.

21002101100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21002101100120 is an abundant number, since it is smaller than the sum of its proper divisors (35351362738600).

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

21002101100120 is a wasteful number, since it uses less digits than its factorization.

21002101100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261195864 (or 3261195860 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21002101100120 its reverse (2100110120012), we get a palindrome (23102211220132).

The spelling of 21002101100120 in words is "twenty-one trillion, two billion, one hundred one million, one hundred thousand, one hundred twenty".