10032986565121 has 27 divisors (see below), whose sum is σ = 10937061984771. Its totient is φ = 9199452332304.

The previous prime is 10032986565053. The next prime is 10032986565131. The reversal of 10032986565121 is 12156568923001.

The square root of 10032986565121 is 3167489.

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

10032986565121 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 only one way, i.e., 1484169610225 + 8548816954896 = 1218265^2 + 2923836^2 .

It is not a de Polignac number, because 10032986565121 - 2³⁹ = 9483230751233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10032986565131) 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, 6876617890 + ... + 6876619348.

Almost surely, 2^{10032986565121} is an apocalyptic number.

10032986565121 is the 3167489-th square number.

10032986565121 is the 1583745-th centered octagonal number.

It is an amenable number.

10032986565121 is a deficient number, since it is larger than the sum of its proper divisors (904075419650).

10032986565121 is an frugal number, since it uses more digits than its factorization.

10032986565121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

Multiplying 10032986565121 by its sum of digits (49), we get a square (491616341690929 = 22172423²).

The spelling of 10032986565121 in words is "ten trillion, thirty-two billion, nine hundred eighty-six million, five hundred sixty-five thousand, one hundred twenty-one".