211100122110201 has 16 divisors (see below), whose sum is σ = 281818523472000. Its totient is φ = 140557677418368.

The previous prime is 211100122110191. The next prime is 211100122110211. The reversal of 211100122110201 is 102011221001112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211100122110191) and next prime (211100122110211).

It is not a de Polignac number, because 211100122110201 - 2³⁵ = 211065762371833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211100122110211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6007581 + ... + 21407738.

It is an arithmetic number, because the mean of its divisors is an integer number (17613657717000).

Almost surely, 2^{211100122110201} is an apocalyptic number.

It is an amenable number.

211100122110201 is a deficient number, since it is larger than the sum of its proper divisors (70718401361799).

211100122110201 is a wasteful number, since it uses less digits than its factorization.

211100122110201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27418528.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211100122110201 its reverse (102011221001112), we get a palindrome (313111343111313).

The spelling of 211100122110201 in words is "two hundred eleven trillion, one hundred billion, one hundred twenty-two million, one hundred ten thousand, two hundred one".