1100255522311 has 16 divisors (see below), whose sum is σ = 1213849735200. Its totient is φ = 988924710400.

The previous prime is 1100255522293. The next prime is 1100255522323. The reversal of 1100255522311 is 1132255520011.

It is a happy number.

It is not a de Polignac number, because 1100255522311 - 2³⁷ = 962816568839 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1100255522311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100255522341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18442971 + ... + 18502531.

It is an arithmetic number, because the mean of its divisors is an integer number (75865608450).

Almost surely, 2^{1100255522311} is an apocalyptic number.

1100255522311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1100255522311 is a deficient number, since it is larger than the sum of its proper divisors (113594212889).

1100255522311 is a wasteful number, since it uses less digits than its factorization.

1100255522311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78530.

The product of its (nonzero) digits is 3000, while the sum is 28.

The spelling of 1100255522311 in words is "one trillion, one hundred billion, two hundred fifty-five million, five hundred twenty-two thousand, three hundred eleven".