102220212220100 has 36 divisors (see below), whose sum is σ = 238880772868164. Its totient is φ = 37742847588480.

The previous prime is 102220212220069. The next prime is 102220212220123. The reversal of 102220212220100 is 1022212022201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2125629866116 + 100094582353984 = 1457954^2 + 10004728^2 .

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, 39315464939 + ... + 39315467538.

Almost surely, 2^{102220212220100} is an apocalyptic number.

102220212220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220212220100 is an abundant number, since it is smaller than the sum of its proper divisors (136660560648064).

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

102220212220100 is a wasteful number, since it uses less digits than its factorization.

102220212220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78630932504 (or 78630932497 counting only the distinct ones).

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

Adding to 102220212220100 its reverse (1022212022201), we get a palindrome (103242424242301).

The spelling of 102220212220100 in words is "one hundred two trillion, two hundred twenty billion, two hundred twelve million, two hundred twenty thousand, one hundred".