21210012121200 has 120 divisors (see below), whose sum is σ = 77648844405888. Its totient is φ = 4848002768640.

The previous prime is 21210012121187. The next prime is 21210012121213. The reversal of 21210012121200 is 212121001212.

It is an interprime number because it is at equal distance from previous prime (21210012121187) and next prime (21210012121213).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×21210012121200² (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 21210012121200.

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 23 ways as a sum of consecutive naturals, for example, 1262492322 + ... + 1262509121.

Almost surely, 2^{21210012121200} is an apocalyptic number.

21210012121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210012121200 is an abundant number, since it is smaller than the sum of its proper divisors (56438832284688).

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

21210012121200 is a wasteful number, since it uses less digits than its factorization.

21210012121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525001471 (or 2525001460 counting only the distinct ones).

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

Adding to 21210012121200 its reverse (212121001212), we get a palindrome (21422133122412).

The spelling of 21210012121200 in words is "twenty-one trillion, two hundred ten billion, twelve million, one hundred twenty-one thousand, two hundred".