2131570800100 has 81 divisors (see below), whose sum is σ = 5380951712283. Its totient is φ = 730789234560.

The previous prime is 2131570800083. The next prime is 2131570800103. The reversal of 2131570800100 is 10080751312.

The square root of 2131570800100 is 1459990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 473924850084 + 1657645950016 = 688422^2 + 1287496^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2131570800103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 102188872 + ... + 102209728.

Almost surely, 2^{2131570800100} is an apocalyptic number.

2131570800100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2131570800100 is the 1459990-th square number.

It is an amenable number.

2131570800100 is an abundant number, since it is smaller than the sum of its proper divisors (3249380912183).

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

2131570800100 is an frugal number, since it uses more digits than its factorization.

2131570800100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41742 (or 20871 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The spelling of 2131570800100 in words is "two trillion, one hundred thirty-one billion, five hundred seventy million, eight hundred thousand, one hundred".