211220122102121 has 32 divisors (see below), whose sum is σ = 232313859993600. Its totient is φ = 190443422520000.

The previous prime is 211220122102097. The next prime is 211220122102141. The reversal of 211220122102121 is 121201221022112.

It is a cyclic number.

It is not a de Polignac number, because 211220122102121 - 2³⁸ = 210945244195177 is a prime.

It is a super-2 number, since 2×211220122102121² (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 = 211220122102093 and 211220122102102.

It is not an unprimeable number, because it can be changed into a prime (211220122102141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34620570971 + ... + 34620577071.

It is an arithmetic number, because the mean of its divisors is an integer number (7259808124800).

Almost surely, 2^{211220122102121} is an apocalyptic number.

It is an amenable number.

211220122102121 is a deficient number, since it is larger than the sum of its proper divisors (21093737891479).

211220122102121 is a wasteful number, since it uses less digits than its factorization.

211220122102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16061.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211220122102121 its reverse (121201221022112), we get a palindrome (332421343124233).

The spelling of 211220122102121 in words is "two hundred eleven trillion, two hundred twenty billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty-one".