2131241100 has 72 divisors (see below), whose sum is σ = 6198509520. Its totient is φ = 565370880.

The previous prime is 2131241089. The next prime is 2131241113. The reversal of 2131241100 is 11421312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2131241100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39496 + ... + 76304.

It is an arithmetic number, because the mean of its divisors is an integer number (86090410).

Almost surely, 2^2131241100 is an apocalyptic number.

2131241100 is a gapful number since it is divisible by the number (20) 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 2131241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099254760).

2131241100 is an abundant number, since it is smaller than the sum of its proper divisors (4067268420).

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

2131241100 is a wasteful number, since it uses less digits than its factorization.

2131241100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37019 (or 37012 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2131241100 is about 46165.3668890436. The cubic root of 2131241100 is about 1286.8982024316.

Adding to 2131241100 its reverse (11421312), we get a palindrome (2142662412).

The spelling of 2131241100 in words is "two billion, one hundred thirty-one million, two hundred forty-one thousand, one hundred".