122111122001011 has 32 divisors (see below), whose sum is σ = 144994705309440. Its totient is φ = 101375708592000.

The previous prime is 122111122000999. The next prime is 122111122001017. The reversal of 122111122001011 is 110100221111221.

It is a cyclic number.

It is not a de Polignac number, because 122111122001011 - 2⁵ = 122111122000979 is a prime.

It is a super-2 number, since 2×122111122001011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122111122001017) 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, 14826036 + ... + 21541438.

It is an arithmetic number, because the mean of its divisors is an integer number (4531084540920).

Almost surely, 2^{122111122001011} is an apocalyptic number.

122111122001011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122111122001011 is a deficient number, since it is larger than the sum of its proper divisors (22883583308429).

122111122001011 is a wasteful number, since it uses less digits than its factorization.

122111122001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6716787.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 122111122001011 its reverse (110100221111221), we get a palindrome (232211343112232).

The spelling of 122111122001011 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred twenty-two million, one thousand, eleven".