102116006100 has 72 divisors (see below), whose sum is σ = 328284057920. Its totient is φ = 27230934240.

The previous prime is 102116006071. The next prime is 102116006101. The reversal of 102116006100 is 1600611201.

102116006100 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 1 + 600 + 61 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102116006101) 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 23 ways as a sum of consecutive naturals, for example, 18907672 + ... + 18913071.

Almost surely, 2^102116006100 is an apocalyptic number.

102116006100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102116006100 is an abundant number, since it is smaller than the sum of its proper divisors (226168051820).

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

102116006100 is a wasteful number, since it uses less digits than its factorization.

102116006100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37820766 (or 37820753 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102116006100 its reverse (1600611201), we get a palindrome (103716617301).

The spelling of 102116006100 in words is "one hundred two billion, one hundred sixteen million, six thousand, one hundred".