1110111221121 has 48 divisors (see below), whose sum is σ = 1748527910784. Its totient is φ = 613675008000.

The previous prime is 1110111221111. The next prime is 1110111221147. The reversal of 1110111221121 is 1211221110111.

It is not a de Polignac number, because 1110111221121 - 2²⁵ = 1110077666689 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1110111221121.

It is not an unprimeable number, because it can be changed into a prime (1110111221111) 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, 72260481 + ... + 72275841.

It is an arithmetic number, because the mean of its divisors is an integer number (36427664808).

Almost surely, 2^{1110111221121} is an apocalyptic number.

It is an amenable number.

1110111221121 is a deficient number, since it is larger than the sum of its proper divisors (638416689663).

1110111221121 is a wasteful number, since it uses less digits than its factorization.

1110111221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19014 (or 18983 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 1110111221121 its reverse (1211221110111), we get a palindrome (2321332331232).

The spelling of 1110111221121 in words is "one trillion, one hundred ten billion, one hundred eleven million, two hundred twenty-one thousand, one hundred twenty-one".