100044077001 has 64 divisors (see below), whose sum is σ = 152897310720. Its totient is φ = 57638338560.

The previous prime is 100044076987. The next prime is 100044077059. The reversal of 100044077001 is 100770440001.

It is not a de Polignac number, because 100044077001 - 2¹⁷ = 100043945929 is a prime.

It is a super-3 number, since 3×100044077001³ (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100044077101) 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, 44129470 + ... + 44131736.

It is an arithmetic number, because the mean of its divisors is an integer number (2389020480).

Almost surely, 2^100044077001 is an apocalyptic number.

100044077001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100044077001 is a deficient number, since it is larger than the sum of its proper divisors (52853233719).

100044077001 is a wasteful number, since it uses less digits than its factorization.

100044077001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134.

The product of its (nonzero) digits is 784, while the sum is 24.

The spelling of 100044077001 in words is "one hundred billion, forty-four million, seventy-seven thousand, one".