900100000111001 has 2 divisors, whose sum is σ = 900100000111002. Its totient is φ = 900100000111000.

The previous prime is 900100000110991. The next prime is 900100000111009. The reversal of 900100000111001 is 100111000001009.

It is a happy number.

900100000111001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 590420990016400 + 309679010094601 = 24298580^2 + 17597699^2 .

It is a cyclic number.

It is not a de Polignac number, because 900100000111001 - 2²² = 900099995916697 is a prime.

It is not a weakly prime, because it can be changed into another prime (900100000111009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450050000055500 + 450050000055501.

It is an arithmetic number, because the mean of its divisors is an integer number (450050000055501).

Almost surely, 2^{900100000111001} is an apocalyptic number.

It is an amenable number.

900100000111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

900100000111001 is an equidigital number, since it uses as much as digits as its factorization.

900100000111001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 900100000111001 in words is "nine hundred trillion, one hundred billion, one hundred eleven thousand, one".