211200102100011 has 16 divisors (see below), whose sum is σ = 296828928032000. Its totient is φ = 133206058722528.

The previous prime is 211200102100007. The next prime is 211200102100021. The reversal of 211200102100011 is 110001201002112.

211200102100011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211200102100011 - 2² = 211200102100007 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211200102100011.

It is not an unprimeable number, because it can be changed into a prime (211200102100021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2548283836 + ... + 2548366713.

It is an arithmetic number, because the mean of its divisors is an integer number (18551808002000).

Almost surely, 2^{211200102100011} is an apocalyptic number.

211200102100011 is a deficient number, since it is larger than the sum of its proper divisors (85628825931989).

211200102100011 is a wasteful number, since it uses less digits than its factorization.

211200102100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5096651298.

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

Adding to 211200102100011 its reverse (110001201002112), we get a palindrome (321201303102123).

The spelling of 211200102100011 in words is "two hundred eleven trillion, two hundred billion, one hundred two million, one hundred thousand, eleven".