20100110122033 has 2 divisors, whose sum is σ = 20100110122034. Its totient is φ = 20100110122032.

The previous prime is 20100110122019. The next prime is 20100110122067. The reversal of 20100110122033 is 33022101100102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17050556909824 + 3049553212209 = 4129232^2 + 1746297^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20100110122033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20100110121998 and 20100110122016.

It is not a weakly prime, because it can be changed into another prime (20100110122013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050055061016 + 10050055061017.

It is an arithmetic number, because the mean of its divisors is an integer number (10050055061017).

Almost surely, 2^{20100110122033} is an apocalyptic number.

It is an amenable number.

20100110122033 is a deficient number, since it is larger than the sum of its proper divisors (1).

20100110122033 is an equidigital number, since it uses as much as digits as its factorization.

20100110122033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 20100110122033 its reverse (33022101100102), we get a palindrome (53122211222135).

The spelling of 20100110122033 in words is "twenty trillion, one hundred billion, one hundred ten million, one hundred twenty-two thousand, thirty-three".