10223312123201 has 16 divisors (see below), whose sum is σ = 10310355095040. Its totient is φ = 10136618821440.

The previous prime is 10223312123191. The next prime is 10223312123231. The reversal of 10223312123201 is 10232121332201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10223312123201 is a prime.

It is a super-2 number, since 2×10223312123201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10223312123231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305348180 + ... + 305381658.

It is an arithmetic number, because the mean of its divisors is an integer number (644397193440).

Almost surely, 2^{10223312123201} is an apocalyptic number.

It is an amenable number.

10223312123201 is a deficient number, since it is larger than the sum of its proper divisors (87042971839).

10223312123201 is a wasteful number, since it uses less digits than its factorization.

10223312123201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38624.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 10223312123201 its reverse (10232121332201), we get a palindrome (20455433455402).

The spelling of 10223312123201 in words is "ten trillion, two hundred twenty-three billion, three hundred twelve million, one hundred twenty-three thousand, two hundred one".