101816016100 has 18 divisors (see below), whose sum is σ = 220940755154. Its totient is φ = 40726406400.

The previous prime is 101816016097. The next prime is 101816016139. The reversal of 101816016100 is 1610618101.

It can be written as a sum of positive squares in 3 ways, for example, as 24394066596 + 77421949504 = 156186^2 + 278248^2 .

It is a super-2 number, since 2×101816016100² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 509079981 + ... + 509080180.

Almost surely, 2^101816016100 is an apocalyptic number.

101816016100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101816016100 is an abundant number, since it is smaller than the sum of its proper divisors (119124739054).

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

101816016100 is a wasteful number, since it uses less digits than its factorization.

101816016100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018160175 (or 1018160168 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 101816016100 in words is "one hundred one billion, eight hundred sixteen million, sixteen thousand, one hundred".