909000090101 has 2 divisors, whose sum is σ = 909000090102. Its totient is φ = 909000090100.

The previous prime is 909000090077. The next prime is 909000090107. The reversal of 909000090101 is 101090000909.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 678648087601 + 230352002500 = 823801^2 + 479950^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-909000090101 is a prime.

It is a super-2 number, since 2×909000090101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (909000090107) 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, 454500045050 + 454500045051.

It is an arithmetic number, because the mean of its divisors is an integer number (454500045051).

Almost surely, 2^909000090101 is an apocalyptic number.

It is an amenable number.

909000090101 is a deficient number, since it is larger than the sum of its proper divisors (1).

909000090101 is an equidigital number, since it uses as much as digits as its factorization.

909000090101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 29.

The spelling of 909000090101 in words is "nine hundred nine billion, ninety thousand, one hundred one".