100131400110 has 128 divisors (see below), whose sum is σ = 293173862400. Its totient is φ = 21377139840.

The previous prime is 100131400051. The next prime is 100131400141. The reversal of 100131400110 is 11004131001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106561 + ... + 460019.

It is an arithmetic number, because the mean of its divisors is an integer number (2290420800).

Almost surely, 2^100131400110 is an apocalyptic number.

100131400110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100131400110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146586931200).

100131400110 is an abundant number, since it is smaller than the sum of its proper divisors (193042462290).

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

100131400110 is a wasteful number, since it uses less digits than its factorization.

100131400110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353566.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100131400110 its reverse (11004131001), we get a palindrome (111135531111).

The spelling of 100131400110 in words is "one hundred billion, one hundred thirty-one million, four hundred thousand, one hundred ten".