99301005770121 has 45 divisors (see below), whose sum is σ = 148640459262141. Its totient is φ = 66066202951848.

The previous prime is 99301005770107. The next prime is 99301005770137. The reversal of 99301005770121 is 12107750010399.

It is a happy number.

The square root of 99301005770121 is 9964989.

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

It is not a de Polignac number, because 99301005770121 - 2²⁹ = 99300468899209 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (99301005780121) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 65200922266 + ... + 65200923788.

Almost surely, 2^{99301005770121} is an apocalyptic number.

99301005770121 is the 9964989-th square number.

99301005770121 is the 4982495-th centered octagonal number.

It is an amenable number.

99301005770121 is a deficient number, since it is larger than the sum of its proper divisors (49339453492020).

99301005770121 is an frugal number, since it uses more digits than its factorization.

99301005770121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The spelling of 99301005770121 in words is "ninety-nine trillion, three hundred one billion, five million, seven hundred seventy thousand, one hundred twenty-one".