100085101 has 2 divisors, whose sum is σ = 100085102. Its totient is φ = 100085100.

The previous prime is 100085057. The next prime is 100085207. The reversal of 100085101 is 101580001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98982601 + 1102500 = 9949^2 + 1050^2 .

It is a cyclic number.

It is not a de Polignac number, because 100085101 - 2⁷ = 100084973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100085801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50042550 + 50042551.

It is an arithmetic number, because the mean of its divisors is an integer number (50042551).

Almost surely, 2^100085101 is an apocalyptic number.

It is an amenable number.

100085101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100085101 is an equidigital number, since it uses as much as digits as its factorization.

100085101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40, while the sum is 16.

The square root of 100085101 is about 10004.2541451125. The cubic root of 100085101 is about 464.2905139791.

The spelling of 100085101 in words is "one hundred million, eighty-five thousand, one hundred one".