101103131100 has 108 divisors (see below), whose sum is σ = 295458966152. Its totient is φ = 26693088000.

The previous prime is 101103131089. The next prime is 101103131117. The reversal of 101103131100 is 1131301101.

101103131100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3043782 + ... + 3076818.

Almost surely, 2^101103131100 is an apocalyptic number.

101103131100 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 101103131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147729483076).

101103131100 is an abundant number, since it is smaller than the sum of its proper divisors (194355835052).

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

101103131100 is a wasteful number, since it uses less digits than its factorization.

101103131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33256 (or 33148 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 101103131100 its reverse (1131301101), we get a palindrome (102234432201).

The spelling of 101103131100 in words is "one hundred one billion, one hundred three million, one hundred thirty-one thousand, one hundred".