9100000011011 has 32 divisors (see below), whose sum is σ = 11446076745600. Its totient is φ = 7188971674752.

The previous prime is 9100000010987. The next prime is 9100000011013. The reversal of 9100000011011 is 1101100000019.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-9100000011011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9100000011013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1349081 + ... + 4474373.

It is an arithmetic number, because the mean of its divisors is an integer number (357689898300).

Almost surely, 2^{9100000011011} is an apocalyptic number.

9100000011011 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

9100000011011 is a deficient number, since it is larger than the sum of its proper divisors (2346076734589).

9100000011011 is a wasteful number, since it uses less digits than its factorization.

9100000011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125980 (or 3125966 counting only the distinct ones).

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

It can be divided in two parts, 91000000 and 11011, that multiplied together give a square (1002001000000 = 1001000²).

The spelling of 9100000011011 in words is "nine trillion, one hundred billion, eleven thousand, eleven".