102022122100 has 72 divisors (see below), whose sum is σ = 238833885528. Its totient is φ = 37683609600.

The previous prime is 102022122071. The next prime is 102022122133. The reversal of 102022122100 is 1221220201.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1144739556 + 100877382544 = 33834^2 + 317612^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 476061 + ... + 656260.

It is an arithmetic number, because the mean of its divisors is an integer number (3317137299).

Almost surely, 2^102022122100 is an apocalyptic number.

102022122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022122100 is an abundant number, since it is smaller than the sum of its proper divisors (136811763428).

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

102022122100 is a wasteful number, since it uses less digits than its factorization.

102022122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132405 (or 1132398 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102022122100 its reverse (1221220201), we get a palindrome (103243342301).

The spelling of 102022122100 in words is "one hundred two billion, twenty-two million, one hundred twenty-two thousand, one hundred".