100914200959 has 16 divisors (see below), whose sum is σ = 119421943200. Its totient is φ = 84065103360.

The previous prime is 100914200953. The next prime is 100914201019. The reversal of 100914200959 is 959002419001.

It is a cyclic number.

It is not a de Polignac number, because 100914200959 - 2³ = 100914200951 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100914200951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2555934 + ... + 2595115.

It is an arithmetic number, because the mean of its divisors is an integer number (7463871450).

Almost surely, 2^100914200959 is an apocalyptic number.

100914200959 is a deficient number, since it is larger than the sum of its proper divisors (18507742241).

100914200959 is a wasteful number, since it uses less digits than its factorization.

100914200959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5151210.

The product of its (nonzero) digits is 29160, while the sum is 40.

The spelling of 100914200959 in words is "one hundred billion, nine hundred fourteen million, two hundred thousand, nine hundred fifty-nine".