100577143273 has 2 divisors, whose sum is σ = 100577143274. Its totient is φ = 100577143272.

The previous prime is 100577143259. The next prime is 100577143291. The reversal of 100577143273 is 372341775001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86246180329 + 14330962944 = 293677^2 + 119712^2 .

It is a cyclic number.

It is not a de Polignac number, because 100577143273 - 2⁹ = 100577142761 is a prime.

It is not a weakly prime, because it can be changed into another prime (100577143573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50288571636 + 50288571637.

It is an arithmetic number, because the mean of its divisors is an integer number (50288571637).

Almost surely, 2^100577143273 is an apocalyptic number.

It is an amenable number.

100577143273 is a deficient number, since it is larger than the sum of its proper divisors (1).

100577143273 is an equidigital number, since it uses as much as digits as its factorization.

100577143273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 123480, while the sum is 40.

The spelling of 100577143273 in words is "one hundred billion, five hundred seventy-seven million, one hundred forty-three thousand, two hundred seventy-three".