100010311120 has 40 divisors (see below), whose sum is σ = 237471300864. Its totient is φ = 39152971392.

The previous prime is 100010311103. The next prime is 100010311123. The reversal of 100010311120 is 21113010001.

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 = 100010311097 and 100010311106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010311123) 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 7 ways as a sum of consecutive naturals, for example, 13295484 + ... + 13303003.

Almost surely, 2^100010311120 is an apocalyptic number.

100010311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010311120 is an abundant number, since it is smaller than the sum of its proper divisors (137460989744).

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

100010311120 is a wasteful number, since it uses less digits than its factorization.

100010311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26598547 (or 26598541 counting only the distinct ones).

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

Adding to 100010311120 its reverse (21113010001), we get a palindrome (121123321121).

The spelling of 100010311120 in words is "one hundred billion, ten million, three hundred eleven thousand, one hundred twenty".