131021200100 has 144 divisors (see below), whose sum is σ = 330232197120. Its totient is φ = 44190748800.

The previous prime is 131021200099. The next prime is 131021200127. The reversal of 131021200100 is 1002120131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46476491 + ... + 46479309.

Almost surely, 2^131021200100 is an apocalyptic number.

131021200100 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 131021200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165116098560).

131021200100 is an abundant number, since it is smaller than the sum of its proper divisors (199210997020).

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

131021200100 is a wasteful number, since it uses less digits than its factorization.

131021200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898 (or 3891 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 131021200100 its reverse (1002120131), we get a palindrome (132023320231).

The spelling of 131021200100 in words is "one hundred thirty-one billion, twenty-one million, two hundred thousand, one hundred".