112002102011101 has 2 divisors, whose sum is σ = 112002102011102. Its totient is φ = 112002102011100.

The previous prime is 112002102011087. The next prime is 112002102011131. The reversal of 112002102011101 is 101110201200211.

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., 64045992259876 + 47956109751225 = 8002874^2 + 6925035^2 .

It is a cyclic number.

It is not a de Polignac number, because 112002102011101 - 2⁷ = 112002102010973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112002102011131) 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, 56001051005550 + 56001051005551.

It is an arithmetic number, because the mean of its divisors is an integer number (56001051005551).

Almost surely, 2^{112002102011101} is an apocalyptic number.

It is an amenable number.

112002102011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

112002102011101 is an equidigital number, since it uses as much as digits as its factorization.

112002102011101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112002102011101 its reverse (101110201200211), we get a palindrome (213112303211312).

The spelling of 112002102011101 in words is "one hundred twelve trillion, two billion, one hundred two million, eleven thousand, one hundred one".