100172771116 has 48 divisors (see below), whose sum is σ = 202592692512. Its totient is φ = 42832563200.

The previous prime is 100172771059. The next prime is 100172771117. The reversal of 100172771116 is 611177271001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (100172771117) 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, 1460226 + ... + 1527286.

It is an arithmetic number, because the mean of its divisors is an integer number (4220681094).

Almost surely, 2^100172771116 is an apocalyptic number.

It is an amenable number.

100172771116 is an abundant number, since it is smaller than the sum of its proper divisors (102419921396).

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

100172771116 is a wasteful number, since it uses less digits than its factorization.

100172771116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69090 (or 69088 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 34.

The spelling of 100172771116 in words is "one hundred billion, one hundred seventy-two million, seven hundred seventy-one thousand, one hundred sixteen".