211000111122001 has 2 divisors, whose sum is σ = 211000111122002. Its totient is φ = 211000111122000.

The previous prime is 211000111121971. The next prime is 211000111122013. The reversal of 211000111122001 is 100221111000112.

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., 177128176720401 + 33871934401600 = 13308951^2 + 5819960^2 .

It is a cyclic number.

It is not a de Polignac number, because 211000111122001 - 2³³ = 210991521187409 is a prime.

It is a super-3 number, since 3×211000111122001³ (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (211000111122061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105500055561000 + 105500055561001.

It is an arithmetic number, because the mean of its divisors is an integer number (105500055561001).

Almost surely, 2^{211000111122001} is an apocalyptic number.

It is an amenable number.

211000111122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

211000111122001 is an equidigital number, since it uses as much as digits as its factorization.

211000111122001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 211000111122001 its reverse (100221111000112), we get a palindrome (311221222122113).

The spelling of 211000111122001 in words is "two hundred eleven trillion, one hundred eleven million, one hundred twenty-two thousand, one".