122264101462221 has 6 divisors (see below), whose sum is σ = 176603702112110. Its totient is φ = 81509400974808.

The previous prime is 122264101462183. The next prime is 122264101462231.

122264101462221 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 6 + 4 + 1 + 0 + 1 + 4 + 622 + 21 = 666.

122264101462221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 88359812000100 + 33904289462121 = 9399990^2 + 5822739^2 .

It is not a de Polignac number, because 122264101462221 - 2¹¹ = 122264101460173 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122264101462231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6792450081226 + ... + 6792450081243.

Almost surely, 2^{122264101462221} is an apocalyptic number.

It is an amenable number.

122264101462221 is a deficient number, since it is larger than the sum of its proper divisors (54339600649889).

122264101462221 is a wasteful number, since it uses less digits than its factorization.

122264101462221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13584900162475 (or 13584900162472 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

It can be divided in two parts, 12226410 and 1462221, that added together give a palindrome (13688631).

The spelling of 122264101462221 in words is "one hundred twenty-two trillion, two hundred sixty-four billion, one hundred one million, four hundred sixty-two thousand, two hundred twenty-one".