103220011011321 has 24 divisors (see below), whose sum is σ = 153126288249480. Its totient is φ = 66953036733696.

The previous prime is 103220011011317. The next prime is 103220011011347. The reversal of 103220011011321 is 123110110022301.

103220011011321 is a `hidden beast` number, since 1 + 0 + 3 + 220 + 0 + 110 + 11 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10941143907600 + 92278867103721 = 3307740^2 + 9606189^2 .

It is not a de Polignac number, because 103220011011321 - 2² = 103220011011317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103220011011294 and 103220011011303.

It is not an unprimeable number, because it can be changed into a prime (103220011010321) 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, 48288835 + ... + 50381063.

It is an arithmetic number, because the mean of its divisors is an integer number (6380262010395).

Almost surely, 2^{103220011011321} is an apocalyptic number.

It is an amenable number.

103220011011321 is a deficient number, since it is larger than the sum of its proper divisors (49906277238159).

103220011011321 is a wasteful number, since it uses less digits than its factorization.

103220011011321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240425 (or 2240422 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103220011011321 its reverse (123110110022301), we get a palindrome (226330121033622).

The spelling of 103220011011321 in words is "one hundred three trillion, two hundred twenty billion, eleven million, eleven thousand, three hundred twenty-one".