111112102002101 has 2 divisors, whose sum is σ = 111112102002102. Its totient is φ = 111112102002100.

The previous prime is 111112102002079. The next prime is 111112102002157. The reversal of 111112102002101 is 101200201211111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55797926979601 + 55314175022500 = 7469801^2 + 7437350^2 .

It is an emirp because it is prime and its reverse (101200201211111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111112102002101 - 2³⁰ = 111111028260277 is a prime.

It is a super-2 number, since 2×111112102002101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111112102002001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55556051001050 + 55556051001051.

It is an arithmetic number, because the mean of its divisors is an integer number (55556051001051).

Almost surely, 2^{111112102002101} is an apocalyptic number.

It is an amenable number.

111112102002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111112102002101 is an equidigital number, since it uses as much as digits as its factorization.

111112102002101 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 14.

Adding to 111112102002101 its reverse (101200201211111), we get a palindrome (212312303213212).

The spelling of 111112102002101 in words is "one hundred eleven trillion, one hundred twelve billion, one hundred two million, two thousand, one hundred one".