100131120110 has 64 divisors (see below), whose sum is σ = 209152184832. Its totient is φ = 33803104896.

The previous prime is 100131120109. The next prime is 100131120119. The reversal of 100131120110 is 11021131001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100131120091 and 100131120100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131120119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16566749 + ... + 16572791.

It is an arithmetic number, because the mean of its divisors is an integer number (3268002888).

Almost surely, 2^100131120110 is an apocalyptic number.

100131120110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100131120110 is an abundant number, since it is smaller than the sum of its proper divisors (109021064722).

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

100131120110 is a wasteful number, since it uses less digits than its factorization.

100131120110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9657.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 100131120110 its reverse (11021131001), we get a palindrome (111152251111).

The spelling of 100131120110 in words is "one hundred billion, one hundred thirty-one million, one hundred twenty thousand, one hundred ten".