2101261882329 has 81 divisors (see below), whose sum is σ = 3305923374429. Its totient is φ = 1285829233920.

The previous prime is 2101261882219. The next prime is 2101261882339. The reversal of 2101261882329 is 9232881621012.

The square root of 2101261882329 is 1449573.

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

2101261882329 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 2 + 618 + 8 + 2 + 3 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 689090913225 + 1412170969104 = 830115^2 + 1188348^2 .

It is not a de Polignac number, because 2101261882329 - 2¹¹ = 2101261880281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2101261882339) 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, 3178913259 + ... + 3178913919.

Almost surely, 2^{2101261882329} is an apocalyptic number.

2101261882329 is the 1449573-rd square number.

2101261882329 is the 724787-th centered octagonal number.

It is an amenable number.

2101261882329 is a deficient number, since it is larger than the sum of its proper divisors (1204661492100).

2101261882329 is an frugal number, since it uses more digits than its factorization.

2101261882329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 2101261882329 in words is "two trillion, one hundred one billion, two hundred sixty-one million, eight hundred eighty-two thousand, three hundred twenty-nine".