122111121100111 has 32 divisors (see below), whose sum is σ = 144455981302080. Its totient is φ = 101760764313600.

The previous prime is 122111121100109. The next prime is 122111121100121. The reversal of 122111121100111 is 111001121111221.

It is a cyclic number.

It is not a de Polignac number, because 122111121100111 - 2¹ = 122111121100109 is a prime.

It is a super-2 number, since 2×122111121100111² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111121100121) 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, 11815891 + ... + 19591771.

It is an arithmetic number, because the mean of its divisors is an integer number (4514249415690).

Almost surely, 2^{122111121100111} is an apocalyptic number.

122111121100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122111121100111 is a deficient number, since it is larger than the sum of its proper divisors (22344860201969).

122111121100111 is a wasteful number, since it uses less digits than its factorization.

122111121100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7776667.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 122111121100111 its reverse (111001121111221), we get a palindrome (233112242211332).

The spelling of 122111121100111 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred twenty-one million, one hundred thousand, one hundred eleven".