2101211200011 has 32 divisors (see below), whose sum is σ = 3493468459008. Its totient is φ = 1091367678240.

The previous prime is 2101211200007. The next prime is 2101211200013. The reversal of 2101211200011 is 1100021121012.

It is not a de Polignac number, because 2101211200011 - 2² = 2101211200007 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2101211200011.

It is not an unprimeable number, because it can be changed into a prime (2101211200013) 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 31 ways as a sum of consecutive naturals, for example, 776986 + ... + 2192288.

It is an arithmetic number, because the mean of its divisors is an integer number (109170889344).

Almost surely, 2^{2101211200011} is an apocalyptic number.

2101211200011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2101211200011 is a deficient number, since it is larger than the sum of its proper divisors (1392257258997).

2101211200011 is a wasteful number, since it uses less digits than its factorization.

2101211200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421751.

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

Adding to 2101211200011 its reverse (1100021121012), we get a palindrome (3201232321023).

It can be divided in two parts, 2101 and 211200011, that added together give a palindrome (211202112).

The spelling of 2101211200011 in words is "two trillion, one hundred one billion, two hundred eleven million, two hundred thousand, eleven".