103221121122301 has 48 divisors (see below), whose sum is σ = 135416666764800. Its totient is φ = 76772639683584.

The previous prime is 103221121122281. The next prime is 103221121122349.

It is a happy number.

103221121122301 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 103221121122301 - 2¹⁷ = 103221120991229 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103221121122401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13576380 + ... + 19767658.

It is an arithmetic number, because the mean of its divisors is an integer number (2821180557600).

Almost surely, 2^{103221121122301} is an apocalyptic number.

It is an amenable number.

103221121122301 is a deficient number, since it is larger than the sum of its proper divisors (32195545642499).

103221121122301 is a wasteful number, since it uses less digits than its factorization.

103221121122301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6192158 (or 6192145 counting only the distinct ones).

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

The spelling of 103221121122301 in words is "one hundred three trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-two thousand, three hundred one".