122211101112221 has 24 divisors (see below), whose sum is σ = 134423130403800. Its totient is φ = 111024998902400.

The previous prime is 122211101112097. The next prime is 122211101112263.

It is a happy number.

122211101112221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 617717402500 + 121593383709721 = 785950^2 + 11026939^2 .

It is a de Polignac number, because none of the positive numbers 2^k-122211101112221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122211101112193 and 122211101112202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211101115221) 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 23 ways as a sum of consecutive naturals, for example, 1317039695 + ... + 1317132483.

It is an arithmetic number, because the mean of its divisors is an integer number (5600963766825).

Almost surely, 2^{122211101112221} is an apocalyptic number.

122211101112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122211101112221 is a deficient number, since it is larger than the sum of its proper divisors (12212029291579).

122211101112221 is a wasteful number, since it uses less digits than its factorization.

122211101112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100141 (or 100130 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

It can be divided in two parts, 12221110 and 1112221, that added together give a palindrome (13333331).

The spelling of 122211101112221 in words is "one hundred twenty-two trillion, two hundred eleven billion, one hundred one million, one hundred twelve thousand, two hundred twenty-one".