102221110021200 has 240 divisors, whose sum is σ = 344480965646400. Its totient is φ = 25872913203200.

The previous prime is 102221110021193. The next prime is 102221110021253. The reversal of 102221110021200 is 2120011122201.

102221110021200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 102221110021200.

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 47 ways as a sum of consecutive naturals, for example, 22839921 + ... + 26946320.

It is an arithmetic number, because the mean of its divisors is an integer number (1435337356860).

Almost surely, 2^{102221110021200} is an apocalyptic number.

102221110021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221110021200 is an abundant number, since it is smaller than the sum of its proper divisors (242259855625200).

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

102221110021200 is a wasteful number, since it uses less digits than its factorization.

102221110021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49786350 (or 49786339 counting only the distinct ones).

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

Adding to 102221110021200 its reverse (2120011122201), we get a palindrome (104341121143401).

The spelling of 102221110021200 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred ten million, twenty-one thousand, two hundred".