90100100201 has 2 divisors, whose sum is σ = 90100100202. Its totient is φ = 90100100200.

The previous prime is 90100100183. The next prime is 90100100221. The reversal of 90100100201 is 10200100109.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72854107225 + 17245992976 = 269915^2 + 131324^2 .

It is a cyclic number.

It is not a de Polignac number, because 90100100201 - 2⁶ = 90100100137 is a prime.

It is not a weakly prime, because it can be changed into another prime (90100100221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45050050100 + 45050050101.

It is an arithmetic number, because the mean of its divisors is an integer number (45050050101).

Almost surely, 2^90100100201 is an apocalyptic number.

It is an amenable number.

90100100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

90100100201 is an equidigital number, since it uses as much as digits as its factorization.

90100100201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 90100100201 in words is "ninety billion, one hundred million, one hundred thousand, two hundred one".