1221010122133 has 2 divisors, whose sum is σ = 1221010122134. Its totient is φ = 1221010122132.

The previous prime is 1221010122121. The next prime is 1221010122139. The reversal of 1221010122133 is 3312210101221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1100522687364 + 120487434769 = 1049058^2 + 347113^2 .

It is a cyclic number.

It is not a de Polignac number, because 1221010122133 - 2⁹ = 1221010121621 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1221010122133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1221010122139) 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, 610505061066 + 610505061067.

It is an arithmetic number, because the mean of its divisors is an integer number (610505061067).

Almost surely, 2^{1221010122133} is an apocalyptic number.

It is an amenable number.

1221010122133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221010122133 is an equidigital number, since it uses as much as digits as its factorization.

1221010122133 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 1221010122133 its reverse (3312210101221), we get a palindrome (4533220223354).

The spelling of 1221010122133 in words is "one trillion, two hundred twenty-one billion, ten million, one hundred twenty-two thousand, one hundred thirty-three".