101581141090009 has 81 divisors (see below), whose sum is σ = 123648591680991. Its totient is φ = 83205297433440.

The previous prime is 101581141089977. The next prime is 101581141090061. The reversal of 101581141090009 is 900090141185101.

The square root of 101581141090009 is 10078747.

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., 53266686350409 + 48314454739600 = 7298403^2 + 6950860^2 .

It is not a de Polignac number, because 101581141090009 - 2⁵ = 101581141089977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101581141090069) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 268024118782 + ... + 268024119160.

Almost surely, 2^{101581141090009} is an apocalyptic number.

101581141090009 is the 10078747-th square number.

101581141090009 is the 5039374-th centered octagonal number.

It is an amenable number.

101581141090009 is a deficient number, since it is larger than the sum of its proper divisors (22067450590982).

101581141090009 is an frugal number, since it uses more digits than its factorization.

101581141090009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 40.

The spelling of 101581141090009 in words is "one hundred one trillion, five hundred eighty-one billion, one hundred forty-one million, ninety thousand, nine".