103121223201 has 80 divisors (see below), whose sum is σ = 160632552960. Its totient is φ = 65856810240.

The previous prime is 103121223199. The next prime is 103121223241. The reversal of 103121223201 is 102322121301.

103121223201 is a `hidden beast` number, since 10 + 312 + 1 + 22 + 320 + 1 = 666.

It is not a de Polignac number, because 103121223201 - 2¹ = 103121223199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103121223241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 140683431 + ... + 140684163.

It is an arithmetic number, because the mean of its divisors is an integer number (2007906912).

Almost surely, 2^103121223201 is an apocalyptic number.

It is an amenable number.

103121223201 is a deficient number, since it is larger than the sum of its proper divisors (57511329759).

103121223201 is a wasteful number, since it uses less digits than its factorization.

103121223201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1259 counting only the distinct ones).

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

Adding to 103121223201 its reverse (102322121301), we get a palindrome (205443344502).

The spelling of 103121223201 in words is "one hundred three billion, one hundred twenty-one million, two hundred twenty-three thousand, two hundred one".