100735777321 has 9 divisors (see below), whose sum is σ = 101106896229. Its totient is φ = 100366019136.

The previous prime is 100735777301. The next prime is 100735777327. The reversal of 100735777321 is 123777537001.

The square root of 100735777321 is 317389.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3728445721 + 97007331600 = 61061^2 + 311460^2 .

It is not a de Polignac number, because 100735777321 - 2¹⁹ = 100735253033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100735777327) 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, 137429071 + ... + 137429803.

It is an arithmetic number, because the mean of its divisors is an integer number (11234099581).

Almost surely, 2^100735777321 is an apocalyptic number.

100735777321 is the 317389-th square number.

100735777321 is the 158695-th centered octagonal number.

It is an amenable number.

100735777321 is a deficient number, since it is larger than the sum of its proper divisors (371118908).

100735777321 is an frugal number, since it uses more digits than its factorization.

100735777321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 216090, while the sum is 43.

The spelling of 100735777321 in words is "one hundred billion, seven hundred thirty-five million, seven hundred seventy-seven thousand, three hundred twenty-one".