102221122020200 has 48 divisors (see below), whose sum is σ = 237680330571180. Its totient is φ = 40885657948160.

The previous prime is 102221122020163. The next prime is 102221122020253. The reversal of 102221122020200 is 2020221122201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 56741177590276 + 45479944429924 = 7532674^2 + 6743882^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14504147 + ... + 20366946.

Almost surely, 2^{102221122020200} is an apocalyptic number.

102221122020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221122020200 is an abundant number, since it is smaller than the sum of its proper divisors (135459208550980).

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

102221122020200 is a wasteful number, since it uses less digits than its factorization.

102221122020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34885766 (or 34885757 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102221122020200 its reverse (2020221122201), we get a palindrome (104241343142401).

The spelling of 102221122020200 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred twenty-two million, twenty thousand, two hundred".