10100001202033 has 2 divisors, whose sum is σ = 10100001202034. Its totient is φ = 10100001202032.

The previous prime is 10100001201973. The next prime is 10100001202079. The reversal of 10100001202033 is 33020210000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9511870193424 + 588131008609 = 3084132^2 + 766897^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100001202033 - 2⁴¹ = 7900977946481 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100001202933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000601016 + 5050000601017.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000601017).

Almost surely, 2^{10100001202033} is an apocalyptic number.

It is an amenable number.

10100001202033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100001202033 is an equidigital number, since it uses as much as digits as its factorization.

10100001202033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10100001202033 its reverse (33020210000101), we get a palindrome (43120211202134).

The spelling of 10100001202033 in words is "ten trillion, one hundred billion, one million, two hundred two thousand, thirty-three".