2221123012033 has 2 divisors, whose sum is σ = 2221123012034. Its totient is φ = 2221123012032.

The previous prime is 2221123011979. The next prime is 2221123012057. The reversal of 2221123012033 is 3302103211222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2170368329089 + 50754682944 = 1473217^2 + 225288^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2221123012033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2221123011995 and 2221123012013.

It is not a weakly prime, because it can be changed into another prime (2221123016033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110561506016 + 1110561506017.

It is an arithmetic number, because the mean of its divisors is an integer number (1110561506017).

Almost surely, 2^{2221123012033} is an apocalyptic number.

It is an amenable number.

2221123012033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221123012033 is an equidigital number, since it uses as much as digits as its factorization.

2221123012033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2221123012033 its reverse (3302103211222), we get a palindrome (5523226223255).

The spelling of 2221123012033 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-three million, twelve thousand, thirty-three".