10223311101121 has 2 divisors, whose sum is σ = 10223311101122. Its totient is φ = 10223311101120.

The previous prime is 10223311101019. The next prime is 10223311101163. The reversal of 10223311101121 is 12110111332201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9713070896400 + 510240204721 = 3116580^2 + 714311^2 .

It is an emirp because it is prime and its reverse (12110111332201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10223311101121 - 2²⁵ = 10223277546689 is a prime.

It is not a weakly prime, because it can be changed into another prime (10223311101191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111655550560 + 5111655550561.

It is an arithmetic number, because the mean of its divisors is an integer number (5111655550561).

Almost surely, 2^{10223311101121} is an apocalyptic number.

It is an amenable number.

10223311101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223311101121 is an equidigital number, since it uses as much as digits as its factorization.

10223311101121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 10223311101121 its reverse (12110111332201), we get a palindrome (22333422433322).

The spelling of 10223311101121 in words is "ten trillion, two hundred twenty-three billion, three hundred eleven million, one hundred one thousand, one hundred twenty-one".