102202010120100 has 144 divisors (see below), whose sum is σ = 322596328513536. Its totient is φ = 24775506000000.

The previous prime is 102202010120083. The next prime is 102202010120113. The reversal of 102202010120100 is 1021010202201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114550725 + ... + 115439475.

It is an arithmetic number, because the mean of its divisors is an integer number (2240252281344).

Almost surely, 2^{102202010120100} is an apocalyptic number.

102202010120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202010120100 is an abundant number, since it is smaller than the sum of its proper divisors (220394318393436).

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

102202010120100 is a wasteful number, since it uses less digits than its factorization.

102202010120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923626 (or 923619 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102202010120100 its reverse (1021010202201), we get a palindrome (103223020322301).

The spelling of 102202010120100 in words is "one hundred two trillion, two hundred two billion, ten million, one hundred twenty thousand, one hundred".