1102101022133 has 2 divisors, whose sum is σ = 1102101022134. Its totient is φ = 1102101022132.

The previous prime is 1102101022093. The next prime is 1102101022157. The reversal of 1102101022133 is 3312201012011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 666087764164 + 436013257969 = 816142^2 + 660313^2 .

It is a cyclic number.

It is not a de Polignac number, because 1102101022133 - 2¹⁴ = 1102101005749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1102101022333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 551050511066 + 551050511067.

It is an arithmetic number, because the mean of its divisors is an integer number (551050511067).

Almost surely, 2^{1102101022133} is an apocalyptic number.

It is an amenable number.

1102101022133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102101022133 is an equidigital number, since it uses as much as digits as its factorization.

1102101022133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1102101022133 its reverse (3312201012011), we get a palindrome (4414302034144).

The spelling of 1102101022133 in words is "one trillion, one hundred two billion, one hundred one million, twenty-two thousand, one hundred thirty-three".