21210202011200 has 84 divisors (see below), whose sum is σ = 52197351746820. Its totient is φ = 8482943139840.

The previous prime is 21210202011191. The next prime is 21210202011253. The reversal of 21210202011200 is 211020201212.

It can be written as a sum of positive squares in 6 ways, for example, as 3222628148224 + 17987573862976 = 1795168^2 + 4241176^2 .

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 11 ways as a sum of consecutive naturals, for example, 11097344 + ... + 12867456.

It is an arithmetic number, because the mean of its divisors is an integer number (621397044605).

Almost surely, 2^{21210202011200} is an apocalyptic number.

21210202011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210202011200 is an abundant number, since it is smaller than the sum of its proper divisors (30987149735620).

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

21210202011200 is a wasteful number, since it uses less digits than its factorization.

21210202011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777624 (or 1777609 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21210202011200 its reverse (211020201212), we get a palindrome (21421222212412).

The spelling of 21210202011200 in words is "twenty-one trillion, two hundred ten billion, two hundred two million, eleven thousand, two hundred".