101112200102111 has 4 divisors (see below), whose sum is σ = 110304218293224. Its totient is φ = 91920181911000.

The previous prime is 101112200102093. The next prime is 101112200102191. The reversal of 101112200102111 is 111201002211101.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101112200102111 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112200102191) 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 in 3 ways as a sum of consecutive naturals, for example, 4596009095540 + ... + 4596009095561.

It is an arithmetic number, because the mean of its divisors is an integer number (27576054573306).

Almost surely, 2^{101112200102111} is an apocalyptic number.

101112200102111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101112200102111 is a deficient number, since it is larger than the sum of its proper divisors (9192018191113).

101112200102111 is an equidigital number, since it uses as much as digits as its factorization.

101112200102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9192018191112.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101112200102111 its reverse (111201002211101), we get a palindrome (212313202313212).

The spelling of 101112200102111 in words is "one hundred one trillion, one hundred twelve billion, two hundred million, one hundred two thousand, one hundred eleven".