10111001210033 has 2 divisors, whose sum is σ = 10111001210034. Its totient is φ = 10111001210032.

The previous prime is 10111001209963. The next prime is 10111001210137. The reversal of 10111001210033 is 33001210011101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9315021410704 + 795979799329 = 3052052^2 + 892177^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111001210033 - 2²⁴ = 10110984432817 is a prime.

It is a super-2 number, since 2×10111001210033² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10111001210533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055500605016 + 5055500605017.

It is an arithmetic number, because the mean of its divisors is an integer number (5055500605017).

Almost surely, 2^{10111001210033} is an apocalyptic number.

It is an amenable number.

10111001210033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111001210033 is an equidigital number, since it uses as much as digits as its factorization.

10111001210033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10111001210033 its reverse (33001210011101), we get a palindrome (43112211221134).

The spelling of 10111001210033 in words is "ten trillion, one hundred eleven billion, one million, two hundred ten thousand, thirty-three".