122301103221 has 24 divisors (see below), whose sum is σ = 192756311904. Its totient is φ = 74106718560.

The previous prime is 122301103219. The next prime is 122301103291.

122301103221 is a `hidden beast` number, since 1 + 2 + 230 + 110 + 322 + 1 = 666.

122301103221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122301103221 - 2¹ = 122301103219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122301103194 and 122301103203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122301103291) 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 23 ways as a sum of consecutive naturals, for example, 369855 + ... + 617571.

It is an arithmetic number, because the mean of its divisors is an integer number (8031512996).

Almost surely, 2^122301103221 is an apocalyptic number.

122301103221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122301103221 is a deficient number, since it is larger than the sum of its proper divisors (70455208683).

122301103221 is a wasteful number, since it uses less digits than its factorization.

122301103221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252721 (or 252718 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 122301 and 103221, that added together give a palindrome (225522).

The spelling of 122301103221 in words is "one hundred twenty-two billion, three hundred one million, one hundred three thousand, two hundred twenty-one".