10901955879721 has 27 divisors (see below), whose sum is σ = 11533202770789. Its totient is φ = 10304397426752.

The previous prime is 10901955879709. The next prime is 10901955879757. The reversal of 10901955879721 is 12797855910901.

The square root of 10901955879721 is 3301811.

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

10901955879721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 454606320025 + 10447349559696 = 674245^2 + 3232236^2 .

It is not a de Polignac number, because 10901955879721 - 2⁴³ = 2105862857513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10901955879701) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6758806311 + ... + 6758807923.

Almost surely, 2^{10901955879721} is an apocalyptic number.

10901955879721 is the 3301811-st square number.

10901955879721 is the 1650906-th centered octagonal number.

It is an amenable number.

10901955879721 is a deficient number, since it is larger than the sum of its proper divisors (631246891068).

10901955879721 is an frugal number, since it uses more digits than its factorization.

10901955879721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3450 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 64.

Multiplying 10901955879721 by its sum of digits (64), we get a square (697725176302144 = 26414488²).

The spelling of 10901955879721 in words is "ten trillion, nine hundred one billion, nine hundred fifty-five million, eight hundred seventy-nine thousand, seven hundred twenty-one".