10131102101100 has 144 divisors (see below), whose sum is σ = 30151440684288. Its totient is φ = 2624545647360.

The previous prime is 10131102101027. The next prime is 10131102101129. The reversal of 10131102101100 is 110120113101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6476359 + ... + 7887041.

It is an arithmetic number, because the mean of its divisors is an integer number (209385004752).

Almost surely, 2^{10131102101100} is an apocalyptic number.

10131102101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131102101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15075720342144).

10131102101100 is an abundant number, since it is smaller than the sum of its proper divisors (20020338583188).

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

10131102101100 is a wasteful number, since it uses less digits than its factorization.

10131102101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411384 (or 1411377 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 10131102101100 its reverse (110120113101), we get a palindrome (10241222214201).

The spelling of 10131102101100 in words is "ten trillion, one hundred thirty-one billion, one hundred two million, one hundred one thousand, one hundred".