11002111112101 has 2 divisors, whose sum is σ = 11002111112102. Its totient is φ = 11002111112100.

The previous prime is 11002111112011. The next prime is 11002111112143. The reversal of 11002111112101 is 10121111120011.

Together with previous prime (11002111112011) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10482371047201 + 519740064900 = 3237649^2 + 720930^2 .

It is a cyclic number.

It is not a de Polignac number, because 11002111112101 - 2³¹ = 10999963628453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11002111112401) 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, 5501055556050 + 5501055556051.

It is an arithmetic number, because the mean of its divisors is an integer number (5501055556051).

Almost surely, 2^{11002111112101} is an apocalyptic number.

It is an amenable number.

11002111112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11002111112101 is an equidigital number, since it uses as much as digits as its factorization.

11002111112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 11002111112101 its reverse (10121111120011), we get a palindrome (21123222232112).

The spelling of 11002111112101 in words is "eleven trillion, two billion, one hundred eleven million, one hundred twelve thousand, one hundred one".