10122001221133 has 2 divisors, whose sum is σ = 10122001221134. Its totient is φ = 10122001221132.

The previous prime is 10122001221091. The next prime is 10122001221181. The reversal of 10122001221133 is 33112210022101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9856573272324 + 265427948809 = 3139518^2 + 515197^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10122001221133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10122001221133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122001221533) 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, 5061000610566 + 5061000610567.

It is an arithmetic number, because the mean of its divisors is an integer number (5061000610567).

Almost surely, 2^{10122001221133} is an apocalyptic number.

It is an amenable number.

10122001221133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122001221133 is an equidigital number, since it uses as much as digits as its factorization.

10122001221133 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 10122001221133 its reverse (33112210022101), we get a palindrome (43234211243234).

The spelling of 10122001221133 in words is "ten trillion, one hundred twenty-two billion, one million, two hundred twenty-one thousand, one hundred thirty-three".