10100113011 has 12 divisors (see below), whose sum is σ = 15092123280. Its totient is φ = 6501222000.

The previous prime is 10100112989. The next prime is 10100113033. The reversal of 10100113011 is 11031100101.

It is an interprime number because it is at equal distance from previous prime (10100112989) and next prime (10100113033).

It is not a de Polignac number, because 10100113011 - 2²¹ = 10098015859 is a prime.

It is a super-2 number, since 2×10100113011² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10100112984 and 10100113002.

It is not an unprimeable number, because it can be changed into a prime (10100113091) 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, 19348615 + ... + 19349136.

It is an arithmetic number, because the mean of its divisors is an integer number (1257676940).

Almost surely, 2^10100113011 is an apocalyptic number.

10100113011 is a deficient number, since it is larger than the sum of its proper divisors (4992010269).

10100113011 is a wasteful number, since it uses less digits than its factorization.

10100113011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38697786 (or 38697783 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 10100113011 its reverse (11031100101), we get a palindrome (21131213112).

The spelling of 10100113011 in words is "ten billion, one hundred million, one hundred thirteen thousand, eleven".