122221022011011 has 96 divisors (see below), whose sum is σ = 220595003486208. Its totient is φ = 63349863433920.

The previous prime is 122221022010977. The next prime is 122221022011021. The reversal of 122221022011011 is 110110220122221.

122221022011011 is a `hidden beast` number, since 1 + 222 + 210 + 220 + 1 + 1 + 0 + 11 = 666.

It is not a de Polignac number, because 122221022011011 - 2¹¹ = 122221022008963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122221022011021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 563259640 + ... + 563476586.

It is an arithmetic number, because the mean of its divisors is an integer number (2297864619648).

Almost surely, 2^{122221022011011} is an apocalyptic number.

122221022011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122221022011011 is a deficient number, since it is larger than the sum of its proper divisors (98373981475197).

122221022011011 is a wasteful number, since it uses less digits than its factorization.

122221022011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218781 (or 218778 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122221022011011 its reverse (110110220122221), we get a palindrome (232331242133232).

The spelling of 122221022011011 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, twenty-two million, eleven thousand, eleven".