102202112101100 has 36 divisors (see below), whose sum is σ = 241940272649208. Its totient is φ = 37164404400000.

The previous prime is 102202112101051. The next prime is 102202112101109. The reversal of 102202112101100 is 1101211202201.

It is a super-2 number, since 2×102202112101100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102202112101109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46455504401 + ... + 46455506600.

Almost surely, 2^{102202112101100} is an apocalyptic number.

102202112101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202112101100 is an abundant number, since it is smaller than the sum of its proper divisors (139738160548108).

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

102202112101100 is a wasteful number, since it uses less digits than its factorization.

102202112101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92911011026 (or 92911011019 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102202112101100 its reverse (1101211202201), we get a palindrome (103303323303301).

The spelling of 102202112101100 in words is "one hundred two trillion, two hundred two billion, one hundred twelve million, one hundred one thousand, one hundred".