901111111010111 has 2 divisors, whose sum is σ = 901111111010112. Its totient is φ = 901111111010110.

The previous prime is 901111111010093. The next prime is 901111111010171. The reversal of 901111111010111 is 111010111111109.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 901111111010111 - 2⁴⁶ = 830742366832447 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (901111111010171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450555555505055 + 450555555505056.

It is an arithmetic number, because the mean of its divisors is an integer number (450555555505056).

Almost surely, 2^{901111111010111} is an apocalyptic number.

901111111010111 is a deficient number, since it is larger than the sum of its proper divisors (1).

901111111010111 is an equidigital number, since it uses as much as digits as its factorization.

901111111010111 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 20.

The spelling of 901111111010111 in words is "nine hundred one trillion, one hundred eleven billion, one hundred eleven million, ten thousand, one hundred eleven".