122111211022111 has 16 divisors (see below), whose sum is σ = 128890046433760. Its totient is φ = 115367970816000.

The previous prime is 122111211022093. The next prime is 122111211022127. The reversal of 122111211022111 is 111220112111221.

It is not a de Polignac number, because 122111211022111 - 2⁵ = 122111211022079 is a prime.

It is a super-2 number, since 2×122111211022111² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111211026111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5344111 + ... + 16516111.

It is an arithmetic number, because the mean of its divisors is an integer number (8055627902110).

Almost surely, 2^{122111211022111} is an apocalyptic number.

122111211022111 is a deficient number, since it is larger than the sum of its proper divisors (6778835411649).

122111211022111 is a wasteful number, since it uses less digits than its factorization.

122111211022111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11173594.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 122111211022111 its reverse (111220112111221), we get a palindrome (233331323133332).

The spelling of 122111211022111 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred eleven million, twenty-two thousand, one hundred eleven".