10100113001 has 4 divisors (see below), whose sum is σ = 11018305104. Its totient is φ = 9181920900.

The previous prime is 10100112989. The next prime is 10100113033. The reversal of 10100113001 is 10031100101.

10100113001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100113001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10100113001.

It is not an unprimeable number, because it can be changed into a prime (10100113091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 459096035 + ... + 459096056.

It is an arithmetic number, because the mean of its divisors is an integer number (2754576276).

Almost surely, 2^10100113001 is an apocalyptic number.

10100113001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100113001 is a deficient number, since it is larger than the sum of its proper divisors (918192103).

10100113001 is an equidigital number, since it uses as much as digits as its factorization.

10100113001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918192102.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 10100113001 its reverse (10031100101), we get a palindrome (20131213102).

The spelling of 10100113001 in words is "ten billion, one hundred million, one hundred thirteen thousand, one".