10223223123121 has 2 divisors, whose sum is σ = 10223223123122. Its totient is φ = 10223223123120.

The previous prime is 10223223123067. The next prime is 10223223123199. The reversal of 10223223123121 is 12132132232201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7164781777521 + 3058441345600 = 2676711^2 + 1748840^2 .

It is a cyclic number.

It is not a de Polignac number, because 10223223123121 - 2¹¹ = 10223223121073 is a prime.

It is not a weakly prime, because it can be changed into another prime (10223223123721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111611561560 + 5111611561561.

It is an arithmetic number, because the mean of its divisors is an integer number (5111611561561).

Almost surely, 2^{10223223123121} is an apocalyptic number.

It is an amenable number.

10223223123121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223223123121 is an equidigital number, since it uses as much as digits as its factorization.

10223223123121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10223223123121 its reverse (12132132232201), we get a palindrome (22355355355322).

The spelling of 10223223123121 in words is "ten trillion, two hundred twenty-three billion, two hundred twenty-three million, one hundred twenty-three thousand, one hundred twenty-one".