2101227092721 has 27 divisors (see below), whose sum is σ = 3077717119659. Its totient is φ = 1381420036512.

The previous prime is 2101227092711. The next prime is 2101227092831. The reversal of 2101227092721 is 1272907221012.

The square root of 2101227092721 is 1449561.

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

It can be written as a sum of positive squares in only one way, i.e., 1192758858225 + 908468234496 = 1092135^2 + 953136^2 .

It is not a de Polignac number, because 2101227092721 - 2¹³ = 2101227084529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2101227092711) 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, 317450550 + ... + 317457168.

Almost surely, 2^{2101227092721} is an apocalyptic number.

2101227092721 is the 1449561-st square number.

2101227092721 is the 724781-st centered octagonal number.

It is an amenable number.

2101227092721 is a deficient number, since it is larger than the sum of its proper divisors (976490026938).

2101227092721 is an frugal number, since it uses more digits than its factorization.

2101227092721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13390 (or 6695 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

Multiplying 2101227092721 by its sum of digits (36), we get a square (75644175337956 = 8697366²).

The spelling of 2101227092721 in words is "two trillion, one hundred one billion, two hundred twenty-seven million, ninety-two thousand, seven hundred twenty-one".