1081577120121 has 27 divisors (see below), whose sum is σ = 1588588565967. Its totient is φ = 709106099760.

The previous prime is 1081577120111. The next prime is 1081577120123. The reversal of 1081577120121 is 1210217751801.

The square root of 1081577120121 is 1039989.

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

1081577120121 is a `hidden beast` number, since 1 + 0 + 81 + 577 + 1 + 2 + 0 + 1 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35170876521 + 1046406243600 = 187539^2 + 1022940^2 .

It is not a de Polignac number, because 1081577120121 - 2¹⁹ = 1081576595833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1081577120123) 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, 190315146 + ... + 190320828.

Almost surely, 2^{1081577120121} is an apocalyptic number.

1081577120121 is the 1039989-th square number.

1081577120121 is the 519995-th centered octagonal number.

It is an amenable number.

1081577120121 is a deficient number, since it is larger than the sum of its proper divisors (507011445846).

1081577120121 is an frugal number, since it uses more digits than its factorization.

1081577120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11494 (or 5747 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 36.

Multiplying 1081577120121 by its sum of digits (36), we get a square (38936776324356 = 6239934²).

The spelling of 1081577120121 in words is "one trillion, eighty-one billion, five hundred seventy-seven million, one hundred twenty thousand, one hundred twenty-one".