100111717125 has 96 divisors (see below), whose sum is σ = 213888519936. Its totient is φ = 45765259200.

The previous prime is 100111717109. The next prime is 100111717183. The reversal of 100111717125 is 521717111001.

It is a happy number.

It is not a de Polignac number, because 100111717125 - 2⁴ = 100111717109 is a prime.

It is a super-3 number, since 3×100111717125³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22794 + ... + 448043.

It is an arithmetic number, because the mean of its divisors is an integer number (2228005416).

Almost surely, 2^100111717125 is an apocalyptic number.

100111717125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100111717125 is an abundant number, since it is smaller than the sum of its proper divisors (113776802811).

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

100111717125 is an frugal number, since it uses more digits than its factorization.

100111717125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470874 (or 470852 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 27.

Adding to 100111717125 its reverse (521717111001), we get a palindrome (621828828126).

The spelling of 100111717125 in words is "one hundred billion, one hundred eleven million, seven hundred seventeen thousand, one hundred twenty-five".