102003000122033 has 2 divisors, whose sum is σ = 102003000122034. Its totient is φ = 102003000122032.

The previous prime is 102003000121993. The next prime is 102003000122059. The reversal of 102003000122033 is 330221000300201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66298156647424 + 35704843474609 = 8142368^2 + 5975353^2 .

It is a cyclic number.

It is not a de Polignac number, because 102003000122033 - 2⁶ = 102003000121969 is a prime.

It is a super-2 number, since 2×102003000122033² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102003000127033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51001500061016 + 51001500061017.

It is an arithmetic number, because the mean of its divisors is an integer number (51001500061017).

Almost surely, 2^{102003000122033} is an apocalyptic number.

It is an amenable number.

102003000122033 is a deficient number, since it is larger than the sum of its proper divisors (1).

102003000122033 is an equidigital number, since it uses as much as digits as its factorization.

102003000122033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 102003000122033 its reverse (330221000300201), we get a palindrome (432224000422234).

The spelling of 102003000122033 in words is "one hundred two trillion, three billion, one hundred twenty-two thousand, thirty-three".