10100091001 has 32 divisors (see below), whose sum is σ = 13695365376. Its totient is φ = 7192800000.

The previous prime is 10100090963. The next prime is 10100091019. The reversal of 10100091001 is 10019000101.

10100091001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10100091001 - 2⁹ = 10100090489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10100091031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51151 + ... + 151051.

It is an arithmetic number, because the mean of its divisors is an integer number (427980168).

Almost surely, 2^10100091001 is an apocalyptic number.

10100091001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100091001 is a deficient number, since it is larger than the sum of its proper divisors (3595274375).

10100091001 is a wasteful number, since it uses less digits than its factorization.

10100091001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100033.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 10100091001 its reverse (10019000101), we get a palindrome (20119091102).

The spelling of 10100091001 in words is "ten billion, one hundred million, ninety-one thousand, one".