91101000111201 has 48 divisors (see below), whose sum is σ = 136072545423360. Its totient is φ = 58672164348000.

The previous prime is 91101000111193. The next prime is 91101000111281. The reversal of 91101000111201 is 10211100010119.

It is not a de Polignac number, because 91101000111201 - 2³ = 91101000111193 is a prime.

It is a super-2 number, since 2×91101000111201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (91101000111281) 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 in 47 ways as a sum of consecutive naturals, for example, 1177905190 + ... + 1177982528.

It is an arithmetic number, because the mean of its divisors is an integer number (2834844696320).

Almost surely, 2^{91101000111201} is an apocalyptic number.

It is an amenable number.

91101000111201 is a deficient number, since it is larger than the sum of its proper divisors (44971545312159).

91101000111201 is a wasteful number, since it uses less digits than its factorization.

91101000111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84698 (or 84695 counting only the distinct ones).

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

The spelling of 91101000111201 in words is "ninety-one trillion, one hundred one billion, one hundred eleven thousand, two hundred one".