11102111212133 has 2 divisors, whose sum is σ = 11102111212134. Its totient is φ = 11102111212132.

The previous prime is 11102111212097. The next prime is 11102111212147. The reversal of 11102111212133 is 33121211120111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7373435175649 + 3728676036484 = 2715407^2 + 1930978^2 .

It is a cyclic number.

It is not a de Polignac number, because 11102111212133 - 2¹⁰ = 11102111211109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11102111242133) 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, 5551055606066 + 5551055606067.

It is an arithmetic number, because the mean of its divisors is an integer number (5551055606067).

Almost surely, 2^{11102111212133} is an apocalyptic number.

It is an amenable number.

11102111212133 is a deficient number, since it is larger than the sum of its proper divisors (1).

11102111212133 is an equidigital number, since it uses as much as digits as its factorization.

11102111212133 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 20.

Adding to 11102111212133 its reverse (33121211120111), we get a palindrome (44223322332244).

The spelling of 11102111212133 in words is "eleven trillion, one hundred two billion, one hundred eleven million, two hundred twelve thousand, one hundred thirty-three".