100015001001 has 12 divisors (see below), whose sum is σ = 152964119412. Its totient is φ = 62754510336.

The previous prime is 100015000997. The next prime is 100015001027. The reversal of 100015001001 is 100100510001.

It can be written as a sum of positive squares in 2 ways, for example, as 92866467600 + 7148533401 = 304740^2 + 84549^2 .

It is not a de Polignac number, because 100015001001 - 2² = 100015000997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100015001101) 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, 326846256 + ... + 326846561.

It is an arithmetic number, because the mean of its divisors is an integer number (12747009951).

Almost surely, 2^100015001001 is an apocalyptic number.

It is an amenable number.

100015001001 is a deficient number, since it is larger than the sum of its proper divisors (52949118411).

100015001001 is a wasteful number, since it uses less digits than its factorization.

100015001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653692840 (or 653692837 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

Adding to 100015001001 its reverse (100100510001), we get a palindrome (200115511002).

The spelling of 100015001001 in words is "one hundred billion, fifteen million, one thousand, one".