2101696776729 has 81 divisors (see below), whose sum is σ = 3368985324159. Its totient is φ = 1261606943520.

The previous prime is 2101696776709. The next prime is 2101696776769. The reversal of 2101696776729 is 9276776961012.

The square root of 2101696776729 is 1449723.

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., 2059239350025 + 42457426704 = 1435005^2 + 206052^2 .

It is not a de Polignac number, because 2101696776729 - 2¹⁹ = 2101696252441 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2101696776709) 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, 9424649112 + ... + 9424649334.

Almost surely, 2^{2101696776729} is an apocalyptic number.

2101696776729 is the 1449723-rd square number.

2101696776729 is the 724862-nd centered octagonal number.

It is an amenable number.

2101696776729 is a deficient number, since it is larger than the sum of its proper divisors (1267288547430).

2101696776729 is an equidigital number, since it uses as much as digits as its factorization.

2101696776729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 2101696776729 in words is "two trillion, one hundred one billion, six hundred ninety-six million, seven hundred seventy-six thousand, seven hundred twenty-nine".