102122200100 has 18 divisors (see below), whose sum is σ = 221605174434. Its totient is φ = 40848880000.

The previous prime is 102122200091. The next prime is 102122200123. The reversal of 102122200100 is 1002221201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8068350976 + 94053849124 = 89824^2 + 306682^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 510610901 + ... + 510611100.

Almost surely, 2^102122200100 is an apocalyptic number.

102122200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122200100 is an abundant number, since it is smaller than the sum of its proper divisors (119482974334).

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

102122200100 is a wasteful number, since it uses less digits than its factorization.

102122200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021222015 (or 1021222008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102122200100 its reverse (1002221201), we get a palindrome (103124421301).

The spelling of 102122200100 in words is "one hundred two billion, one hundred twenty-two million, two hundred thousand, one hundred".