122211112122121 has 32 divisors (see below), whose sum is σ = 136932064286976. Its totient is φ = 108130747392000.

The previous prime is 122211112122107. The next prime is 122211112122131. The reversal of 122211112122121 is 121221211112221.

It is a cyclic number.

It is not a de Polignac number, because 122211112122121 - 2⁵ = 122211112122089 is a prime.

It is a super-2 number, since 2×122211112122121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122211112122092 and 122211112122101.

It is not an unprimeable number, because it can be changed into a prime (122211112122131) 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 31 ways as a sum of consecutive naturals, for example, 318930081 + ... + 319313041.

It is an arithmetic number, because the mean of its divisors is an integer number (4279127008968).

Almost surely, 2^{122211112122121} is an apocalyptic number.

122211112122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122211112122121 is a deficient number, since it is larger than the sum of its proper divisors (14720952164855).

122211112122121 is a wasteful number, since it uses less digits than its factorization.

122211112122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388033.

The product of its digits is 128, while the sum is 22.

Adding to 122211112122121 its reverse (121221211112221), we get a palindrome (243432323234342).

The spelling of 122211112122121 in words is "one hundred twenty-two trillion, two hundred eleven billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty-one".