2101169110681 has 9 divisors (see below), whose sum is σ = 2109184997661. Its totient is φ = 2093183589312.

The previous prime is 2101169110657. The next prime is 2101169110693. The reversal of 2101169110681 is 1860119611012.

The square root of 2101169110681 is 1449541.

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 113238307081 + 1987930803600 = 336509^2 + 1409940^2 .

It is not a de Polignac number, because 2101169110681 - 2¹⁵ = 2101169077913 is a prime.

It is a super-2 number, since 2×2101169110681² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2101169110681.

It is not an unprimeable number, because it can be changed into a prime (2101169119681) 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 8 ways as a sum of consecutive naturals, for example, 401520241 + ... + 401525473.

It is an arithmetic number, because the mean of its divisors is an integer number (234353888629).

Almost surely, 2^{2101169110681} is an apocalyptic number.

2101169110681 is the 1449541-st square number.

2101169110681 is the 724771-st centered octagonal number.

It is an amenable number.

2101169110681 is a deficient number, since it is larger than the sum of its proper divisors (8015886980).

2101169110681 is an frugal number, since it uses more digits than its factorization.

2101169110681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11020 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 37.

The spelling of 2101169110681 in words is "two trillion, one hundred one billion, one hundred sixty-nine million, one hundred ten thousand, six hundred eighty-one".