211200122110121 has 32 divisors (see below), whose sum is σ = 231409154275200. Its totient is φ = 191960849203200.

The previous prime is 211200122110111. The next prime is 211200122110139. The reversal of 211200122110121 is 121011221002112.

It is a cyclic number.

It is not a de Polignac number, because 211200122110121 - 2²² = 211200117915817 is a prime.

It is a super-3 number, since 3×211200122110121³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211200122110121.

It is not an unprimeable number, because it can be changed into a prime (211200122110111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1197062450 + ... + 1197238868.

It is an arithmetic number, because the mean of its divisors is an integer number (7231536071100).

Almost surely, 2^{211200122110121} is an apocalyptic number.

It is an amenable number.

211200122110121 is a deficient number, since it is larger than the sum of its proper divisors (20209032165079).

211200122110121 is a wasteful number, since it uses less digits than its factorization.

211200122110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194969.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 211200122110121 its reverse (121011221002112), we get a palindrome (332211343112233).

The spelling of 211200122110121 in words is "two hundred eleven trillion, two hundred billion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty-one".