10001223102321 has 48 divisors (see below), whose sum is σ = 17261930424960. Its totient is φ = 5508080309760.

The previous prime is 10001223102271. The next prime is 10001223102337. The reversal of 10001223102321 is 12320132210001.

10001223102321 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 122 + 310 + 232 + 1 = 666.

It is not a de Polignac number, because 10001223102321 - 2⁶ = 10001223102257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001223102294 and 10001223102303.

It is not an unprimeable number, because it can be changed into a prime (10001223102371) 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 47 ways as a sum of consecutive naturals, for example, 102408045 + ... + 102505658.

It is an arithmetic number, because the mean of its divisors is an integer number (359623550520).

Almost surely, 2^{10001223102321} is an apocalyptic number.

10001223102321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001223102321 is a deficient number, since it is larger than the sum of its proper divisors (7260707322639).

10001223102321 is a wasteful number, since it uses less digits than its factorization.

10001223102321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204913766 (or 204913763 counting only the distinct ones).

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

Adding to 10001223102321 its reverse (12320132210001), we get a palindrome (22321355312322).

The spelling of 10001223102321 in words is "ten trillion, one billion, two hundred twenty-three million, one hundred two thousand, three hundred twenty-one".