1091110910201 has 16 divisors (see below), whose sum is σ = 1179078810000. Its totient is φ = 1003721407488.

The previous prime is 1091110910179. The next prime is 1091110910269. The reversal of 1091110910201 is 1020190111901.

It can be written as a sum of positive squares in 8 ways, for example, as 330768765625 + 760342144576 = 575125^2 + 871976^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1091110910201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1091110910501) 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 15 ways as a sum of consecutive naturals, for example, 15496925 + ... + 15567173.

It is an arithmetic number, because the mean of its divisors is an integer number (73692425625).

Almost surely, 2^{1091110910201} is an apocalyptic number.

It is an amenable number.

1091110910201 is a deficient number, since it is larger than the sum of its proper divisors (87967899799).

1091110910201 is a wasteful number, since it uses less digits than its factorization.

1091110910201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74348.

The product of its (nonzero) digits is 162, while the sum is 26.

The spelling of 1091110910201 in words is "one trillion, ninety-one billion, one hundred ten million, nine hundred ten thousand, two hundred one".