10010100020033 has 2 divisors, whose sum is σ = 10010100020034. Its totient is φ = 10010100020032.

The previous prime is 10010100019973. The next prime is 10010100020051. The reversal of 10010100020033 is 33002000101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9588609516304 + 421490503729 = 3096548^2 + 649223^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010100020033 - 2⁴⁰ = 8910588392257 is a prime.

It is a super-2 number, since 2×10010100020033² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10010100019996 and 10010100020023.

It is not a weakly prime, because it can be changed into another prime (10010100020083) 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, 5005050010016 + 5005050010017.

It is an arithmetic number, because the mean of its divisors is an integer number (5005050010017).

Almost surely, 2^{10010100020033} is an apocalyptic number.

It is an amenable number.

10010100020033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010100020033 is an equidigital number, since it uses as much as digits as its factorization.

10010100020033 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 11.

Adding to 10010100020033 its reverse (33002000101001), we get a palindrome (43012100121034).

The spelling of 10010100020033 in words is "ten trillion, ten billion, one hundred million, twenty thousand, thirty-three".