102200020107 has 16 divisors (see below), whose sum is σ = 137291345280. Its totient is φ = 67622484800.

The previous prime is 102200020081. The next prime is 102200020157. The reversal of 102200020107 is 701020002201.

It is a cyclic number.

It is not a de Polignac number, because 102200020107 - 2²² = 102195825803 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102200020157) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 97132 + ... + 462422.

It is an arithmetic number, because the mean of its divisors is an integer number (8580709080).

Almost surely, 2^102200020107 is an apocalyptic number.

102200020107 is a deficient number, since it is larger than the sum of its proper divisors (35091325173).

102200020107 is a wasteful number, since it uses less digits than its factorization.

102200020107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365994.

The product of its (nonzero) digits is 56, while the sum is 15.

Adding to 102200020107 its reverse (701020002201), we get a palindrome (803220022308).

The spelling of 102200020107 in words is "one hundred two billion, two hundred million, twenty thousand, one hundred seven".