10045799979121 has 9 divisors (see below), whose sum is σ = 10189511193099. Its totient is φ = 9904087972800.

The previous prime is 10045799979097. The next prime is 10045799979169. The reversal of 10045799979121 is 12197999754001.

The square root of 10045799979121 is 3169511.

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., 7507386281521 + 2538413697600 = 2739961^2 + 1593240^2 .

It is not a de Polignac number, because 10045799979121 - 2²¹ = 10045797881969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10045799979191) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 225012961 + ... + 225057601.

Almost surely, 2^{10045799979121} is an apocalyptic number.

10045799979121 is the 3169511-st square number.

10045799979121 is the 1584756-th centered octagonal number.

It is an amenable number.

10045799979121 is a deficient number, since it is larger than the sum of its proper divisors (143711213978).

10045799979121 is an frugal number, since it uses more digits than its factorization.

10045799979121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89424 (or 44712 counting only the distinct ones).

The product of its (nonzero) digits is 12859560, while the sum is 64.

Multiplying 10045799979121 by its sum of digits (64), we get a square (642931198663744 = 25356088²).

The spelling of 10045799979121 in words is "ten trillion, forty-five billion, seven hundred ninety-nine million, nine hundred seventy-nine thousand, one hundred twenty-one".