211211112122101 has 16 divisors (see below), whose sum is σ = 260987803913088. Its totient is φ = 166446303480000.

The previous prime is 211211112122099. The next prime is 211211112122111. The reversal of 211211112122101 is 101221211112112.

It is a cyclic number.

It is not a de Polignac number, because 211211112122101 - 2¹ = 211211112122099 is a prime.

It is a super-2 number, since 2×211211112122101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211112122111) 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 in 15 ways as a sum of consecutive naturals, for example, 4623485590 + ... + 4623531271.

It is an arithmetic number, because the mean of its divisors is an integer number (16311737744568).

Almost surely, 2^{211211112122101} is an apocalyptic number.

It is an amenable number.

211211112122101 is a deficient number, since it is larger than the sum of its proper divisors (49776691790987).

211211112122101 is a wasteful number, since it uses less digits than its factorization.

211211112122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9247017132.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 211211112122101 its reverse (101221211112112), we get a palindrome (312432323234213).

The spelling of 211211112122101 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred twelve million, one hundred twenty-two thousand, one hundred one".