10122210211033 has 2 divisors, whose sum is σ = 10122210211034. Its totient is φ = 10122210211032.

The previous prime is 10122210210923. The next prime is 10122210211051. The reversal of 10122210211033 is 33011201222101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7557814725904 + 2564395485129 = 2749148^2 + 1601373^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122210211033 - 2³⁷ = 9984771257561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10122210211033.

It is not a weakly prime, because it can be changed into another prime (10122210211073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061105105516 + 5061105105517.

It is an arithmetic number, because the mean of its divisors is an integer number (5061105105517).

Almost surely, 2^{10122210211033} is an apocalyptic number.

It is an amenable number.

10122210211033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122210211033 is an equidigital number, since it uses as much as digits as its factorization.

10122210211033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10122210211033 its reverse (33011201222101), we get a palindrome (43133411433134).

The spelling of 10122210211033 in words is "ten trillion, one hundred twenty-two billion, two hundred ten million, two hundred eleven thousand, thirty-three".