122111112011 has 32 divisors (see below), whose sum is σ = 143590358016. Its totient is φ = 101696400000.

The previous prime is 122111111987. The next prime is 122111112017. The reversal of 122111112011 is 110211111221.

It is a cyclic number.

It is not a de Polignac number, because 122111112011 - 2¹⁸ = 122110849867 is a prime.

It is a super-2 number, since 2×122111112011² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122111112017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8853941 + ... + 8867721.

It is an arithmetic number, because the mean of its divisors is an integer number (4487198688).

Almost surely, 2^122111112011 is an apocalyptic number.

122111112011 is a deficient number, since it is larger than the sum of its proper divisors (21479246005).

122111112011 is a wasteful number, since it uses less digits than its factorization.

122111112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14123.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 122111112011 its reverse (110211111221), we get a palindrome (232322223232).

The spelling of 122111112011 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred twelve thousand, eleven".