102202313132100 has 72 divisors (see below), whose sum is σ = 296932352731168. Its totient is φ = 27140863219200.

The previous prime is 102202313132089. The next prime is 102202313132107. The reversal of 102202313132100 is 1231313202201.

It is a super-2 number, since 2×102202313132100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102202313132107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 706721014 + ... + 706865613.

Almost surely, 2^{102202313132100} is an apocalyptic number.

102202313132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202313132100 is an abundant number, since it is smaller than the sum of its proper divisors (194730039599068).

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

102202313132100 is a wasteful number, since it uses less digits than its factorization.

102202313132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413586885 (or 1413586878 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 102202313132100 its reverse (1231313202201), we get a palindrome (103433626334301).

The spelling of 102202313132100 in words is "one hundred two trillion, two hundred two billion, three hundred thirteen million, one hundred thirty-two thousand, one hundred".