2011100091 has 96 divisors (see below), whose sum is σ = 3792096000. Its totient is φ = 930827520.

The previous prime is 2011100089. The next prime is 2011100093. The reversal of 2011100091 is 1900011102.

It is an interprime number because it is at equal distance from previous prime (2011100089) and next prime (2011100093).

It is not a de Polignac number, because 2011100091 - 2¹ = 2011100089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2011100091.

It is not an unprimeable number, because it can be changed into a prime (2011100093) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 607960 + ... + 611258.

It is an arithmetic number, because the mean of its divisors is an integer number (39501000).

Almost surely, 2^2011100091 is an apocalyptic number.

2011100091 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2011100091 is a deficient number, since it is larger than the sum of its proper divisors (1780995909).

2011100091 is a wasteful number, since it uses less digits than its factorization.

2011100091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

The square root of 2011100091 is about 44845.2906223162. The cubic root of 2011100091 is about 1262.2476240424.

Adding to 2011100091 its reverse (1900011102), we get a palindrome (3911111193).

It can be divided in two parts, 20 and 11100091, that added together give a palindrome (11100111).

The spelling of 2011100091 in words is "two billion, eleven million, one hundred thousand, ninety-one".