102200011102011 has 16 divisors (see below), whose sum is σ = 137763119793024. Its totient is φ = 67387185628224.

The previous prime is 102200011101989. The next prime is 102200011102037. The reversal of 102200011102011 is 110201110002201.

It is not a de Polignac number, because 102200011102011 - 2²⁷ = 102199876884283 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102200011104011) 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, 257808505 + ... + 258204618.

It is an arithmetic number, because the mean of its divisors is an integer number (8610194987064).

Almost surely, 2^{102200011102011} is an apocalyptic number.

102200011102011 is a deficient number, since it is larger than the sum of its proper divisors (35563108691013).

102200011102011 is a wasteful number, since it uses less digits than its factorization.

102200011102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516013850.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102200011102011 its reverse (110201110002201), we get a palindrome (212401121104212).

The spelling of 102200011102011 in words is "one hundred two trillion, two hundred billion, eleven million, one hundred two thousand, eleven".