21312121030200 has 1152 divisors, whose sum is σ = 96161995238400. Its totient is φ = 4085130240000.

The previous prime is 21312121030157. The next prime is 21312121030283. The reversal of 21312121030200 is 203012121312.

21312121030200 is a `hidden beast` number, since 2 + 1 + 312 + 121 + 0 + 30 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3673867300 + ... + 3673873100.

It is an arithmetic number, because the mean of its divisors is an integer number (83473954200).

Almost surely, 2^{21312121030200} is an apocalyptic number.

21312121030200 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 21312121030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48080997619200).

21312121030200 is an abundant number, since it is smaller than the sum of its proper divisors (74849874208200).

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

21312121030200 is a wasteful number, since it uses less digits than its factorization.

21312121030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7893 (or 7881 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21312121030200 its reverse (203012121312), we get a palindrome (21515133151512).

The spelling of 21312121030200 in words is "twenty-one trillion, three hundred twelve billion, one hundred twenty-one million, thirty thousand, two hundred".