102170166100 has 18 divisors (see below), whose sum is σ = 221709260654. Its totient is φ = 40868066400.

The previous prime is 102170166083. The next prime is 102170166113. The reversal of 102170166100 is 1661071201.

It is a happy number.

102170166100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 16585833796 + 85584332304 = 128786^2 + 292548^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 510850731 + ... + 510850930.

Almost surely, 2^102170166100 is an apocalyptic number.

102170166100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102170166100 is an abundant number, since it is smaller than the sum of its proper divisors (119539094554).

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

102170166100 is a wasteful number, since it uses less digits than its factorization.

102170166100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021701675 (or 1021701668 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

It can be divided in two parts, 1021701 and 66100, that added together give a palindrome (1087801).

The spelling of 102170166100 in words is "one hundred two billion, one hundred seventy million, one hundred sixty-six thousand, one hundred".