1100102211133 has 2 divisors, whose sum is σ = 1100102211134. Its totient is φ = 1100102211132.

The previous prime is 1100102211101. The next prime is 1100102211167. The reversal of 1100102211133 is 3311122010011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 820687422724 + 279414788409 = 905918^2 + 528597^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100102211133 - 2⁵ = 1100102211101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100102215133) 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, 550051105566 + 550051105567.

It is an arithmetic number, because the mean of its divisors is an integer number (550051105567).

Almost surely, 2^{1100102211133} is an apocalyptic number.

It is an amenable number.

1100102211133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100102211133 is an equidigital number, since it uses as much as digits as its factorization.

1100102211133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1100102211133 its reverse (3311122010011), we get a palindrome (4411224221144).

The spelling of 1100102211133 in words is "one trillion, one hundred billion, one hundred two million, two hundred eleven thousand, one hundred thirty-three".