122103121301221 has 8 divisors (see below), whose sum is σ = 124679239559064. Its totient is φ = 119551421226240.

The previous prime is 122103121301209. The next prime is 122103121301303.

It is a happy number.

122103121301221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 17887096910596 + 104216024390625 = 4229314^2 + 10208625^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122103121301221 - 2³³ = 122094531366629 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122103121301192 and 122103121301201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122103121301921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6104535610 + ... + 6104555611.

It is an arithmetic number, because the mean of its divisors is an integer number (15584904944883).

Almost surely, 2^{122103121301221} is an apocalyptic number.

It is an amenable number.

122103121301221 is a deficient number, since it is larger than the sum of its proper divisors (2576118257843).

122103121301221 is a wasteful number, since it uses less digits than its factorization.

122103121301221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12209091431.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 122103121301221 in words is "one hundred twenty-two trillion, one hundred three billion, one hundred twenty-one million, three hundred one thousand, two hundred twenty-one".