10201122022033 has 2 divisors, whose sum is σ = 10201122022034. Its totient is φ = 10201122022032.

The previous prime is 10201122021973. The next prime is 10201122022067. The reversal of 10201122022033 is 33022022110201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5544084649744 + 4657037372289 = 2354588^2 + 2158017^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201122022033 - 2²¹ = 10201119924881 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10201122022033.

It is not a weakly prime, because it can be changed into another prime (10201122022433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100561011016 + 5100561011017.

It is an arithmetic number, because the mean of its divisors is an integer number (5100561011017).

Almost surely, 2^{10201122022033} is an apocalyptic number.

It is an amenable number.

10201122022033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201122022033 is an equidigital number, since it uses as much as digits as its factorization.

10201122022033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10201122022033 its reverse (33022022110201), we get a palindrome (43223144132234).

The spelling of 10201122022033 in words is "ten trillion, two hundred one billion, one hundred twenty-two million, twenty-two thousand, thirty-three".