103221221121 has 12 divisors (see below), whose sum is σ = 153126977172. Its totient is φ = 66954305376.

The previous prime is 103221221111. The next prime is 103221221123. The reversal of 103221221121 is 121122122301.

103221221121 is a `hidden beast` number, since 1 + 0 + 322 + 1 + 221 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100337531121 + 2883690000 = 316761^2 + 53700^2 .

It is not a de Polignac number, because 103221221121 - 2⁶ = 103221221057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103221221094 and 103221221103.

It is not an unprimeable number, because it can be changed into a prime (103221221123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154986486 + ... + 154987151.

It is an arithmetic number, because the mean of its divisors is an integer number (12760581431).

Almost surely, 2^103221221121 is an apocalyptic number.

It is an amenable number.

103221221121 is a deficient number, since it is larger than the sum of its proper divisors (49905756051).

103221221121 is a wasteful number, since it uses less digits than its factorization.

103221221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309973680 (or 309973677 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 103221221121 its reverse (121122122301), we get a palindrome (224343343422).

The spelling of 103221221121 in words is "one hundred three billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty-one".