900101100111111 has 10 divisors (see below), whose sum is σ = 1344595470536472. Its totient is φ = 600067400074020.

The previous prime is 900101100111047. The next prime is 900101100111131. The reversal of 900101100111111 is 111111001101009.

It is not a de Polignac number, because 900101100111111 - 2⁶ = 900101100111047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900101100111131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5556179630235 + ... + 5556179630396.

Almost surely, 2^{900101100111111} is an apocalyptic number.

900101100111111 is a deficient number, since it is larger than the sum of its proper divisors (444494370425361).

900101100111111 is a wasteful number, since it uses less digits than its factorization.

900101100111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11112359260643 (or 11112359260634 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 18.

The spelling of 900101100111111 in words is "nine hundred trillion, one hundred one billion, one hundred million, one hundred eleven thousand, one hundred eleven".