10100110120033 has 2 divisors, whose sum is σ = 10100110120034. Its totient is φ = 10100110120032.

The previous prime is 10100110119929. The next prime is 10100110120073. The reversal of 10100110120033 is 33002101100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8139905714704 + 1960204405329 = 2853052^2 + 1400073^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100110120033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100110119995 and 10100110120022.

It is not a weakly prime, because it can be changed into another prime (10100110120073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050055060016 + 5050055060017.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055060017).

Almost surely, 2^{10100110120033} is an apocalyptic number.

It is an amenable number.

10100110120033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100110120033 is an equidigital number, since it uses as much as digits as its factorization.

10100110120033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10100110120033 its reverse (33002101100101), we get a palindrome (43102211220134).

The spelling of 10100110120033 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred twenty thousand, thirty-three".