122211100221111 has 24 divisors (see below), whose sum is σ = 192576664569744. Its totient is φ = 74066719023360.

The previous prime is 122211100221109. The next prime is 122211100221131. The reversal of 122211100221111 is 111122001112221.

It is a happy number.

122211100221111 is a `hidden beast` number, since 1 + 2 + 221 + 110 + 0 + 221 + 111 = 666.

It is not a de Polignac number, because 122211100221111 - 2¹ = 122211100221109 is a prime.

It is a super-4 number, since 4×122211100221111⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211100221101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7018335 + ... + 17137071.

It is an arithmetic number, because the mean of its divisors is an integer number (8024027690406).

Almost surely, 2^{122211100221111} is an apocalyptic number.

122211100221111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122211100221111 is a deficient number, since it is larger than the sum of its proper divisors (70365564348633).

122211100221111 is a wasteful number, since it uses less digits than its factorization.

122211100221111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10240751 (or 10240748 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122211100221111 its reverse (111122001112221), we get a palindrome (233333101333332).

The spelling of 122211100221111 in words is "one hundred twenty-two trillion, two hundred eleven billion, one hundred million, two hundred twenty-one thousand, one hundred eleven".