211211102210121 has 12 divisors (see below), whose sum is σ = 328550603438148. Its totient is φ = 129976062898464.

The previous prime is 211211102210113. The next prime is 211211102210137. The reversal of 211211102210121 is 121012201112112.

It is a happy number.

211211102210121 is a `hidden beast` number, since 21 + 1 + 211 + 102 + 210 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45427451720121 + 165783650490000 = 6739989^2 + 12875700^2 .

It is not a de Polignac number, because 211211102210121 - 2³ = 211211102210113 is a prime.

It is a super-2 number, since 2×211211102210121² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 211211102210094 and 211211102210103.

It is not an unprimeable number, because it can be changed into a prime (211211102210821) 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 11 ways as a sum of consecutive naturals, for example, 902611547790 + ... + 902611548023.

It is an arithmetic number, because the mean of its divisors is an integer number (27379216953179).

Almost surely, 2^{211211102210121} is an apocalyptic number.

It is an amenable number.

211211102210121 is a deficient number, since it is larger than the sum of its proper divisors (117339501228027).

211211102210121 is a wasteful number, since it uses less digits than its factorization.

211211102210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805223095832 (or 1805223095829 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211211102210121 its reverse (121012201112112), we get a palindrome (332223303322233).

The spelling of 211211102210121 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred two million, two hundred ten thousand, one hundred twenty-one".