2111121022033 has 2 divisors, whose sum is σ = 2111121022034. Its totient is φ = 2111121022032.

The previous prime is 2111121022001. The next prime is 2111121022051. The reversal of 2111121022033 is 3302201211112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1164094260624 + 947026761409 = 1078932^2 + 973153^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111121022033 - 2⁵ = 2111121022001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2111121022033.

It is not a weakly prime, because it can be changed into another prime (2111127022033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055560511016 + 1055560511017.

It is an arithmetic number, because the mean of its divisors is an integer number (1055560511017).

Almost surely, 2^{2111121022033} is an apocalyptic number.

It is an amenable number.

2111121022033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111121022033 is an equidigital number, since it uses as much as digits as its factorization.

2111121022033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 2111121022033 its reverse (3302201211112), we get a palindrome (5413322233145).

The spelling of 2111121022033 in words is "two trillion, one hundred eleven billion, one hundred twenty-one million, twenty-two thousand, thirty-three".