2101577901124 has 45 divisors (see below), whose sum is σ = 3985159865057. Its totient is φ = 969732880896.

The previous prime is 2101577901107. The next prime is 2101577901233. The reversal of 2101577901124 is 4211097751012.

The square root of 2101577901124 is 1449682.

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

It can be written as a sum of positive squares in 7 ways, for example, as 1537396646724 + 564181254400 = 1239918^2 + 751120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 489990372 + ... + 489994660.

Almost surely, 2^{2101577901124} is an apocalyptic number.

2101577901124 is the 1449682-nd square number.

It is an amenable number.

2101577901124 is a deficient number, since it is larger than the sum of its proper divisors (1883581963933).

2101577901124 is an frugal number, since it uses more digits than its factorization.

2101577901124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8634 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 40.

The spelling of 2101577901124 in words is "two trillion, one hundred one billion, five hundred seventy-seven million, nine hundred one thousand, one hundred twenty-four".