102121200021312 has 224 divisors, whose sum is σ = 310638027033600. Its totient is φ = 32864067532800.

The previous prime is 102121200021311. The next prime is 102121200021317. The reversal of 102121200021312 is 213120002121201.

102121200021312 is a `hidden beast` number, since 1 + 0 + 212 + 120 + 0 + 0 + 21 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121200021311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20288014 + ... + 24816242.

It is an arithmetic number, because the mean of its divisors is an integer number (1386776906400).

Almost surely, 2^{102121200021312} is an apocalyptic number.

102121200021312 is a gapful number since it is divisible by the number (12) 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 102121200021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155319013516800).

102121200021312 is an abundant number, since it is smaller than the sum of its proper divisors (208516827012288).

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

102121200021312 is a wasteful number, since it uses less digits than its factorization.

102121200021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528702 (or 4528686 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102121200021312 its reverse (213120002121201), we get a palindrome (315241202142513).

The spelling of 102121200021312 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred million, twenty-one thousand, three hundred twelve".