100057077123 has 64 divisors (see below), whose sum is σ = 149239480320. Its totient is φ = 59304148992.

The previous prime is 100057077103. The next prime is 100057077139. The reversal of 100057077123 is 321770750001.

It is a Cunningham number, because it is equal to 316318²-1.

It is not a de Polignac number, because 100057077123 - 2¹⁰ = 100057076099 is a prime.

It is a super-2 number, since 2×100057077123² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100057077103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92048286 + ... + 92049372.

It is an arithmetic number, because the mean of its divisors is an integer number (2331866880).

Almost surely, 2^100057077123 is an apocalyptic number.

100057077123 is a deficient number, since it is larger than the sum of its proper divisors (49182403197).

100057077123 is a wasteful number, since it uses less digits than its factorization.

100057077123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036.

The product of its (nonzero) digits is 10290, while the sum is 33.

The spelling of 100057077123 in words is "one hundred billion, fifty-seven million, seventy-seven thousand, one hundred twenty-three".