100638235123321 has 9 divisors (see below), whose sum is σ = 117069049076421. Its totient is φ = 86261284200252.

The previous prime is 100638235123277. The next prime is 100638235123339. The reversal of 100638235123321 is 123321532836001.

It is a happy number.

The square root of 100638235123321 is 10031861.

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

It is not a de Polignac number, because 100638235123321 - 2¹⁷ = 100638234992249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100638235523321) 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, 69506466 + ... + 70939588.

Almost surely, 2^{100638235123321} is an apocalyptic number.

100638235123321 is the 10031861-st square number.

100638235123321 is the 5015931-st centered octagonal number.

It is an amenable number.

100638235123321 is a deficient number, since it is larger than the sum of its proper divisors (16430813953100).

100638235123321 is an frugal number, since it uses more digits than its factorization.

100638235123321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866260 (or 1433130 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

Adding to 100638235123321 its reverse (123321532836001), we get a palindrome (223959767959322).

The spelling of 100638235123321 in words is "one hundred trillion, six hundred thirty-eight billion, two hundred thirty-five million, one hundred twenty-three thousand, three hundred twenty-one".