211122022102121 has 16 divisors (see below), whose sum is σ = 228632241137664. Its totient is φ = 193796260487424.

The previous prime is 211122022102091. The next prime is 211122022102139. The reversal of 211122022102121 is 121201220221112.

It is a cyclic number.

It is not a de Polignac number, because 211122022102121 - 2¹⁸ = 211122021839977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211122022102093 and 211122022102102.

It is not an unprimeable number, because it can be changed into a prime (211122022102021) 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 15 ways as a sum of consecutive naturals, for example, 61233791 + ... + 64589636.

It is an arithmetic number, because the mean of its divisors is an integer number (14289515071104).

Almost surely, 2^{211122022102121} is an apocalyptic number.

It is an amenable number.

211122022102121 is a deficient number, since it is larger than the sum of its proper divisors (17510219035543).

211122022102121 is a wasteful number, since it uses less digits than its factorization.

211122022102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125824160.

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

Adding to 211122022102121 its reverse (121201220221112), we get a palindrome (332323242323233).

The spelling of 211122022102121 in words is "two hundred eleven trillion, one hundred twenty-two billion, twenty-two million, one hundred two thousand, one hundred twenty-one".