10100111004 has 36 divisors (see below), whose sum is σ = 25725740040. Its totient is φ = 3341002080.

The previous prime is 10100110997. The next prime is 10100111059. The reversal of 10100111004 is 40011100101.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1066119 + ... + 1075550.

It is an arithmetic number, because the mean of its divisors is an integer number (714603890).

Almost surely, 2^10100111004 is an apocalyptic number.

It is an amenable number.

10100111004 is an abundant number, since it is smaller than the sum of its proper divisors (15625629036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10100111004 is a wasteful number, since it uses less digits than its factorization.

10100111004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141810 (or 2141805 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100111004 its reverse (40011100101), we get a palindrome (50111211105).

It can be divided in two parts, 10100 and 111004, that added together give a square (121104 = 348²).

The spelling of 10100111004 in words is "ten billion, one hundred million, one hundred eleven thousand, four".