101180402969409 has 81 divisors (see below), whose sum is σ = 155770695807363. Its totient is φ = 63278033766048.

The previous prime is 101180402969389. The next prime is 101180402969491. The reversal of 101180402969409 is 904969204081101.

The square root of 101180402969409 is 10058847.

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

101180402969409 is a `hidden beast` number, since 1 + 0 + 118 + 0 + 40 + 29 + 69 + 409 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70522255449009 + 30658147520400 = 8397753^2 + 5536980^2 .

It is not a de Polignac number, because 101180402969409 - 2⁵ = 101180402969377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101180402969909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 62495615602 + ... + 62495617220.

Almost surely, 2^{101180402969409} is an apocalyptic number.

101180402969409 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

101180402969409 is the 10058847-th square number.

101180402969409 is the 5029424-th centered octagonal number.

It is an amenable number.

101180402969409 is a deficient number, since it is larger than the sum of its proper divisors (54590292837954).

101180402969409 is an frugal number, since it uses more digits than its factorization.

101180402969409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 101180402969409 in words is "one hundred one trillion, one hundred eighty billion, four hundred two million, nine hundred sixty-nine thousand, four hundred nine".