102021222331200 has 336 divisors, whose sum is σ = 337841080536960. Its totient is φ = 26951623188480.

The previous prime is 102021222331187. The next prime is 102021222331201. The reversal of 102021222331200 is 2133222120201.

102021222331200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021222331201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4246802389 + ... + 4246826411.

It is an arithmetic number, because the mean of its divisors is an integer number (1005479406360).

Almost surely, 2^{102021222331200} is an apocalyptic number.

102021222331200 is a gapful number since it is divisible by the number (10) 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 102021222331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168920540268480).

102021222331200 is an abundant number, since it is smaller than the sum of its proper divisors (235819858205760).

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

102021222331200 is a wasteful number, since it uses less digits than its factorization.

102021222331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32274 (or 32259 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102021222331200 its reverse (2133222120201), we get a palindrome (104154444451401).

The spelling of 102021222331200 in words is "one hundred two trillion, twenty-one billion, two hundred twenty-two million, three hundred thirty-one thousand, two hundred".