2131441120100 has 36 divisors (see below), whose sum is σ = 4635528502500. Its totient is φ = 850677596160.

The previous prime is 2131441120069. The next prime is 2131441120117. The reversal of 2131441120100 is 10211441312.

It can be written as a sum of positive squares in 6 ways, for example, as 56210719744 + 2075230400356 = 237088^2 + 1440566^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23690525 + ... + 23780324.

It is an arithmetic number, because the mean of its divisors is an integer number (128764680625).

Almost surely, 2^{2131441120100} is an apocalyptic number.

2131441120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131441120100 is an abundant number, since it is smaller than the sum of its proper divisors (2504087382400).

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

2131441120100 is a wasteful number, since it uses less digits than its factorization.

2131441120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47471312 (or 47471305 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 2131441120100 its reverse (10211441312), we get a palindrome (2141652561412).

The spelling of 2131441120100 in words is "two trillion, one hundred thirty-one billion, four hundred forty-one million, one hundred twenty thousand, one hundred".