211001100001 has 2 divisors, whose sum is σ = 211001100002. Its totient is φ = 211001100000.

The previous prime is 211001099951. The next prime is 211001100059. The reversal of 211001100001 is 100001100112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 185826517776 + 25174582225 = 431076^2 + 158665^2 .

It is a cyclic number.

It is not a de Polignac number, because 211001100001 - 2¹¹ = 211001097953 is a prime.

It is not a weakly prime, because it can be changed into another prime (211001100071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105500550000 + 105500550001.

It is an arithmetic number, because the mean of its divisors is an integer number (105500550001).

Almost surely, 2^211001100001 is an apocalyptic number.

It is an amenable number.

211001100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

211001100001 is an equidigital number, since it uses as much as digits as its factorization.

211001100001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 211001100001 its reverse (100001100112), we get a palindrome (311002200113).

The spelling of 211001100001 in words is "two hundred eleven billion, one million, one hundred thousand, one".