100013011120 has 40 divisors (see below), whose sum is σ = 253669366800. Its totient is φ = 36368367360.

The previous prime is 100013011069. The next prime is 100013011127. The reversal of 100013011120 is 21110310001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100013011097 and 100013011106.

It is not an unprimeable number, because it can be changed into a prime (100013011127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56824695 + ... + 56826454.

It is an arithmetic number, because the mean of its divisors is an integer number (6341734170).

Almost surely, 2^100013011120 is an apocalyptic number.

100013011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100013011120 is an abundant number, since it is smaller than the sum of its proper divisors (153656355680).

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

100013011120 is a wasteful number, since it uses less digits than its factorization.

100013011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113651173 (or 113651167 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 100013011120 its reverse (21110310001), we get a palindrome (121123321121).

The spelling of 100013011120 in words is "one hundred billion, thirteen million, eleven thousand, one hundred twenty".