211200100112001 has 64 divisors (see below), whose sum is σ = 380277993553920. Its totient is φ = 100689369719040.

The previous prime is 211200100111963. The next prime is 211200100112081. The reversal of 211200100112001 is 100211001002112.

It is not a de Polignac number, because 211200100112001 - 2⁶ = 211200100111937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211200100112081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202745521 + ... + 203784558.

It is an arithmetic number, because the mean of its divisors is an integer number (5941843649280).

Almost surely, 2^{211200100112001} is an apocalyptic number.

211200100112001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211200100112001 is a deficient number, since it is larger than the sum of its proper divisors (169077893441919).

211200100112001 is a wasteful number, since it uses less digits than its factorization.

211200100112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406530286.

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

Adding to 211200100112001 its reverse (100211001002112), we get a palindrome (311411101114113).

The spelling of 211200100112001 in words is "two hundred eleven trillion, two hundred billion, one hundred million, one hundred twelve thousand, one".