21121211010200 has 96 divisors (see below), whose sum is σ = 56123658451200. Its totient is φ = 7241353741440.

The previous prime is 21121211010161. The next prime is 21121211010239. The reversal of 21121211010200 is 201011212112.

It is an interprime number because it is at equal distance from previous prime (21121211010161) and next prime (21121211010239).

It is a super-2 number, since 2×21121211010200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 54433277 + ... + 54819923.

It is an arithmetic number, because the mean of its divisors is an integer number (584621442200).

Almost surely, 2^{21121211010200} is an apocalyptic number.

21121211010200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121211010200 is an abundant number, since it is smaller than the sum of its proper divisors (35002447441000).

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

21121211010200 is a wasteful number, since it uses less digits than its factorization.

21121211010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425689 (or 425680 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21121211010200 its reverse (201011212112), we get a palindrome (21322222222312).

The spelling of 21121211010200 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred eleven million, ten thousand, two hundred".