102200102202100 has 36 divisors (see below), whose sum is σ = 253456253462944. Its totient is φ = 35040035040480.

The previous prime is 102200102202091. The next prime is 102200102202109. The reversal of 102200102202100 is 1202201002201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102200102202091) and next prime (102200102202109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200102202109) 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, 73000072302 + ... + 73000073701.

Almost surely, 2^{102200102202100} is an apocalyptic number.

102200102202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200102202100 is an abundant number, since it is smaller than the sum of its proper divisors (151256151260844).

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

102200102202100 is a wasteful number, since it uses less digits than its factorization.

102200102202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146000146024 (or 146000146017 counting only the distinct ones).

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

Adding to 102200102202100 its reverse (1202201002201), we get a palindrome (103402303204301).

The spelling of 102200102202100 in words is "one hundred two trillion, two hundred billion, one hundred two million, two hundred two thousand, one hundred".