2142531860121 has 27 divisors (see below), whose sum is σ = 3105109796061. Its totient is φ = 1423597421664.

The previous prime is 2142531860069. The next prime is 2142531860129. The reversal of 2142531860121 is 1210681352412.

The square root of 2142531860121 is 1463739.

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

2142531860121 is a `hidden beast` number, since 2 + 1 + 4 + 25 + 3 + 1 + 8 + 601 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1198400931225 + 944130928896 = 1094715^2 + 971664^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2142531860121 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2142531860129) 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, 1743312535 + ... + 1743313763.

Almost surely, 2^{2142531860121} is an apocalyptic number.

2142531860121 is the 1463739-th square number.

2142531860121 is the 731870-th centered octagonal number.

It is an amenable number.

2142531860121 is a deficient number, since it is larger than the sum of its proper divisors (962577935940).

2142531860121 is an frugal number, since it uses more digits than its factorization.

2142531860121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 2142531860121 by its sum of digits (36), we get a square (77131146964356 = 8782434²).

The spelling of 2142531860121 in words is "two trillion, one hundred forty-two billion, five hundred thirty-one million, eight hundred sixty thousand, one hundred twenty-one".