100027583001 has 12 divisors (see below), whose sum is σ = 144490411312. Its totient is φ = 66682228536.

The previous prime is 100027582997. The next prime is 100027583039. The reversal of 100027583001 is 100385720001.

It is not a de Polignac number, because 100027583001 - 2² = 100027582997 is a prime.

It is a super-2 number, since 2×100027583001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100027583081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1050 + ... + 447276.

Almost surely, 2^100027583001 is an apocalyptic number.

It is an amenable number.

100027583001 is a deficient number, since it is larger than the sum of its proper divisors (44462828311).

100027583001 is a wasteful number, since it uses less digits than its factorization.

100027583001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471140 (or 471137 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 100027583001 in words is "one hundred billion, twenty-seven million, five hundred eighty-three thousand, one".