110001222100011 has 128 divisors (see below), whose sum is σ = 169975677146112. Its totient is φ = 63205378790400.

The previous prime is 110001222100001. The next prime is 110001222100031.

110001222100011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110001222100011 - 2¹⁸ = 110001221837867 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110001222100011.

It is not an unprimeable number, because it can be changed into a prime (110001222100001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 964248471 + ... + 964362543.

It is an arithmetic number, because the mean of its divisors is an integer number (1327934977704).

Almost surely, 2^{110001222100011} is an apocalyptic number.

110001222100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110001222100011 is a deficient number, since it is larger than the sum of its proper divisors (59974455046101).

110001222100011 is a wasteful number, since it uses less digits than its factorization.

110001222100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114314 (or 114292 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The spelling of 110001222100011 in words is "one hundred ten trillion, one billion, two hundred twenty-two million, one hundred thousand, eleven".