21002010021120 has 288 divisors, whose sum is σ = 70708984819200. Its totient is φ = 5297990049792.

The previous prime is 21002010021079. The next prime is 21002010021133. The reversal of 21002010021120 is 2112001020012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21002010021096 and 21002010021105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49620951 + ... + 50042409.

It is an arithmetic number, because the mean of its divisors is an integer number (245517308400).

Almost surely, 2^{21002010021120} is an apocalyptic number.

21002010021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21002010021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35354492409600).

21002010021120 is an abundant number, since it is smaller than the sum of its proper divisors (49706974798080).

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

21002010021120 is a wasteful number, since it uses less digits than its factorization.

21002010021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422185 (or 422171 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21002010021120 its reverse (2112001020012), we get a palindrome (23114011041132).

The spelling of 21002010021120 in words is "twenty-one trillion, two billion, ten million, twenty-one thousand, one hundred twenty".