211200112100001 has 16 divisors (see below), whose sum is σ = 287596221292800. Its totient is φ = 137802134222208.

The previous prime is 211200112099961. The next prime is 211200112100009. The reversal of 211200112100001 is 100001211002112.

It is not a de Polignac number, because 211200112100001 - 2³⁰ = 211199038358177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211200112100001.

It is not an unprimeable number, because it can be changed into a prime (211200112100009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3015106 + ... + 20772363.

It is an arithmetic number, because the mean of its divisors is an integer number (17974763830800).

Almost surely, 2^{211200112100001} is an apocalyptic number.

It is an amenable number.

211200112100001 is a deficient number, since it is larger than the sum of its proper divisors (76396109192799).

211200112100001 is a wasteful number, since it uses less digits than its factorization.

211200112100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23850488.

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

Adding to 211200112100001 its reverse (100001211002112), we get a palindrome (311201323102113).

The spelling of 211200112100001 in words is "two hundred eleven trillion, two hundred billion, one hundred twelve million, one hundred thousand, one".