100357623723321 has 12 divisors (see below), whose sum is σ = 148496646485460. Its totient is φ = 65273251201920.

The previous prime is 100357623723319. The next prime is 100357623723419. The reversal of 100357623723321 is 123327326753001.

100357623723321 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 5 + 76 + 237 + 23 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19365183546921 + 80992440176400 = 4400589^2 + 8999580^2 .

It is not a de Polignac number, because 100357623723321 - 2¹ = 100357623723319 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100357623723421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135985939636 + ... + 135985940373.

It is an arithmetic number, because the mean of its divisors is an integer number (12374720540455).

Almost surely, 2^{100357623723321} is an apocalyptic number.

It is an amenable number.

100357623723321 is a deficient number, since it is larger than the sum of its proper divisors (48139022762139).

100357623723321 is a wasteful number, since it uses less digits than its factorization.

100357623723321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271971880056 (or 271971880053 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 100357623723321 in words is "one hundred trillion, three hundred fifty-seven billion, six hundred twenty-three million, seven hundred twenty-three thousand, three hundred twenty-one".