10010111100113 has 4 divisors (see below), whose sum is σ = 10011427707888. Its totient is φ = 10008794492340.

The previous prime is 10010111099977. The next prime is 10010111100127. The reversal of 10010111100113 is 31100111101001.

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 not a de Polignac number, because 10010111100113 - 2⁴⁰ = 8910599472337 is a prime.

It is a super-2 number, since 2×10010111100113² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010111100094 and 10010111100103.

It is not an unprimeable number, because it can be changed into a prime (10010111100133) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 658292483 + ... + 658307688.

It is an arithmetic number, because the mean of its divisors is an integer number (2502856926972).

Almost surely, 2^{10010111100113} is an apocalyptic number.

It is an amenable number.

10010111100113 is a deficient number, since it is larger than the sum of its proper divisors (1316607775).

10010111100113 is an equidigital number, since it uses as much as digits as its factorization.

10010111100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316607774.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 10010111100113 its reverse (31100111101001), we get a palindrome (41110222201114).

The spelling of 10010111100113 in words is "ten trillion, ten billion, one hundred eleven million, one hundred thousand, one hundred thirteen".