102022110221200 has 120 divisors (see below), whose sum is σ = 264863490729768. Its totient is φ = 37541136138240.

The previous prime is 102022110221189. The next prime is 102022110221209. The reversal of 102022110221200 is 2122011220201.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 21658487361424 + 80363622859776 = 4653868^2 + 8964576^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (102022110221209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31957009 + ... + 35004208.

Almost surely, 2^{102022110221200} is an apocalyptic number.

102022110221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022110221200 is an abundant number, since it is smaller than the sum of its proper divisors (162841380508568).

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

102022110221200 is a wasteful number, since it uses less digits than its factorization.

102022110221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66961541 (or 66961530 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102022110221200 its reverse (2122011220201), we get a palindrome (104144121441401).

Subtracting from 102022110221200 its reverse (2122011220201), we obtain a palindrome (99900099000999).

The spelling of 102022110221200 in words is "one hundred two trillion, twenty-two billion, one hundred ten million, two hundred twenty-one thousand, two hundred".