102116100 has 36 divisors (see below), whose sum is σ = 295456784. Its totient is φ = 27230880.

The previous prime is 102116083. The next prime is 102116129. The reversal of 102116100 is 1611201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169894 + ... + 170493.

Almost surely, 2^102116100 is an apocalyptic number.

102116100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102116100 is an abundant number, since it is smaller than the sum of its proper divisors (193340684).

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

102116100 is a wasteful number, since it uses less digits than its factorization.

102116100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340404 (or 340397 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 102116100 is about 10105.2511101902. The cubic root of 102116100 is about 467.4100792671.

Adding to 102116100 its reverse (1611201), we get a palindrome (103727301).

The spelling of 102116100 in words is "one hundred two million, one hundred sixteen thousand, one hundred".