100577100109 has 2 divisors, whose sum is σ = 100577100110. Its totient is φ = 100577100108.

The previous prime is 100577100079. The next prime is 100577100163. The reversal of 100577100109 is 901001775001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93654360900 + 6922739209 = 306030^2 + 83203^2 .

It is a cyclic number.

It is not a de Polignac number, because 100577100109 - 2²⁵ = 100543545677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100577100179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50288550054 + 50288550055.

It is an arithmetic number, because the mean of its divisors is an integer number (50288550055).

Almost surely, 2^100577100109 is an apocalyptic number.

It is an amenable number.

100577100109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100577100109 is an equidigital number, since it uses as much as digits as its factorization.

100577100109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2205, while the sum is 31.

The spelling of 100577100109 in words is "one hundred billion, five hundred seventy-seven million, one hundred thousand, one hundred nine".