211200100112081 has 2 divisors, whose sum is σ = 211200100112082. Its totient is φ = 211200100112080.

The previous prime is 211200100111963. The next prime is 211200100112123. The reversal of 211200100112081 is 180211001002112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 146507033872081 + 64693066240000 = 12104009^2 + 8043200^2 .

It is a cyclic number.

It is not a de Polignac number, because 211200100112081 - 2³⁰ = 211199026370257 is a prime.

It is a super-2 number, since 2×211200100112081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211200100112381) 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 as a sum of consecutive naturals, namely, 105600050056040 + 105600050056041.

It is an arithmetic number, because the mean of its divisors is an integer number (105600050056041).

Almost surely, 2^{211200100112081} is an apocalyptic number.

It is an amenable number.

211200100112081 is a deficient number, since it is larger than the sum of its proper divisors (1).

211200100112081 is an equidigital number, since it uses as much as digits as its factorization.

211200100112081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 211200100112081 its reverse (180211001002112), we get a palindrome (391411101114193).

The spelling of 211200100112081 in words is "two hundred eleven trillion, two hundred billion, one hundred million, one hundred twelve thousand, eighty-one".