101071218889 has 9 divisors (see below), whose sum is σ = 107372053621. Its totient is φ = 95120766400.

The previous prime is 101071218877. The next prime is 101071218947. The reversal of 101071218889 is 988812170101.

The square root of 101071218889 is 317917.

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

It can be written as a sum of positive squares in 4 ways, for example, as 397005625 + 100674213264 = 19925^2 + 317292^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101071218889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101071218089) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5395239 + ... + 5413939.

Almost surely, 2^101071218889 is an apocalyptic number.

101071218889 is the 317917-th square number.

101071218889 is the 158959-th centered octagonal number.

It is an amenable number.

101071218889 is a deficient number, since it is larger than the sum of its proper divisors (6300834732).

101071218889 is an frugal number, since it uses more digits than its factorization.

101071218889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37436 (or 18718 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 46.

The spelling of 101071218889 in words is "one hundred one billion, seventy-one million, two hundred eighteen thousand, eight hundred eighty-nine".