211122210121 has 32 divisors (see below), whose sum is σ = 225569334528. Its totient is φ = 197174165760.

The previous prime is 211122210107. The next prime is 211122210151. The reversal of 211122210121 is 121012221112.

211122210121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 211122210121 - 2²¹ = 211120112969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211122210095 and 211122210104.

It is not an unprimeable number, because it can be changed into a prime (211122210151) 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, 130887111 + ... + 130888723.

It is an arithmetic number, because the mean of its divisors is an integer number (7049041704).

Almost surely, 2^211122210121 is an apocalyptic number.

It is an amenable number.

211122210121 is a deficient number, since it is larger than the sum of its proper divisors (14447124407).

211122210121 is a wasteful number, since it uses less digits than its factorization.

211122210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211122210121 its reverse (121012221112), we get a palindrome (332134431233).

The spelling of 211122210121 in words is "two hundred eleven billion, one hundred twenty-two million, two hundred ten thousand, one hundred twenty-one".