2112102002033 has 2 divisors, whose sum is σ = 2112102002034. Its totient is φ = 2112102002032.

The previous prime is 2112102001969. The next prime is 2112102002077. The reversal of 2112102002033 is 3302002012112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2100029925904 + 12072076129 = 1449148^2 + 109873^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112102002033 - 2⁶ = 2112102001969 is a prime.

It is a super-2 number, since 2×2112102002033² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112102052033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056051001016 + 1056051001017.

It is an arithmetic number, because the mean of its divisors is an integer number (1056051001017).

Almost surely, 2^{2112102002033} is an apocalyptic number.

It is an amenable number.

2112102002033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112102002033 is an equidigital number, since it uses as much as digits as its factorization.

2112102002033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2112102002033 its reverse (3302002012112), we get a palindrome (5414104014145).

The spelling of 2112102002033 in words is "two trillion, one hundred twelve billion, one hundred two million, two thousand, thirty-three".