102200000110111 has 16 divisors (see below), whose sum is σ = 107219045615616. Its totient is φ = 97229136001536.

The previous prime is 102200000110063. The next prime is 102200000110121. The reversal of 102200000110111 is 111011000002201.

It is a cyclic number.

It is not a de Polignac number, because 102200000110111 - 2¹⁷ = 102199999979039 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 (102200000110121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18230346 + ... + 23167768.

It is an arithmetic number, because the mean of its divisors is an integer number (6701190350976).

Almost surely, 2^{102200000110111} is an apocalyptic number.

102200000110111 is a deficient number, since it is larger than the sum of its proper divisors (5019045505505).

102200000110111 is a wasteful number, since it uses less digits than its factorization.

102200000110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4942302.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102200000110111 its reverse (111011000002201), we get a palindrome (213211000112312).

The spelling of 102200000110111 in words is "one hundred two trillion, two hundred billion, one hundred ten thousand, one hundred eleven".