111122121221111 has 64 divisors (see below), whose sum is σ = 153632669331456. Its totient is φ = 78227399543040.

The previous prime is 111122121220937. The next prime is 111122121221117.

111122121221111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 111122121221111 - 2¹⁰ = 111122121220087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111122121221117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4067390 + ... + 15452763.

It is an arithmetic number, because the mean of its divisors is an integer number (2400510458304).

Almost surely, 2^{111122121221111} is an apocalyptic number.

111122121221111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111122121221111 is a deficient number, since it is larger than the sum of its proper divisors (42510548110345).

111122121221111 is a wasteful number, since it uses less digits than its factorization.

111122121221111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19520253 (or 19520231 counting only the distinct ones).

The product of its digits is 32, while the sum is 20.

The spelling of 111122121221111 in words is "one hundred eleven trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred eleven".