122122111002111 has 48 divisors (see below), whose sum is σ = 192977577112320. Its totient is φ = 73804776480000.

The previous prime is 122122111002107. The next prime is 122122111002163. The reversal of 122122111002111 is 111200111221221.

It is a happy number.

122122111002111 is a `hidden beast` number, since 1 + 221 + 221 + 1 + 10 + 0 + 211 + 1 = 666.

It is not a de Polignac number, because 122122111002111 - 2² = 122122111002107 is a prime.

It is a super-2 number, since 2×122122111002111² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122111402111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121733676 + ... + 122732766.

It is an arithmetic number, because the mean of its divisors is an integer number (4020366189840).

Almost surely, 2^{122122111002111} is an apocalyptic number.

122122111002111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122122111002111 is a deficient number, since it is larger than the sum of its proper divisors (70855466110209).

122122111002111 is a wasteful number, since it uses less digits than its factorization.

122122111002111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002588 (or 1002585 counting only the distinct ones).

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

Adding to 122122111002111 its reverse (111200111221221), we get a palindrome (233322222223332).

The spelling of 122122111002111 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred eleven million, two thousand, one hundred eleven".