211121021122121 has 16 divisors (see below), whose sum is σ = 232828640076480. Its totient is φ = 189834923566080.

The previous prime is 211121021122111. The next prime is 211121021122133. The reversal of 211121021122121 is 121221120121112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 211121021122121 - 2⁴² = 206722974611017 is a prime.

It is a super-2 number, since 2×211121021122121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211121021122093 and 211121021122102.

It is not an unprimeable number, because it can be changed into a prime (211121021122111) 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, 57937511 + ... + 61473548.

It is an arithmetic number, because the mean of its divisors is an integer number (14551790004780).

Almost surely, 2^{211121021122121} is an apocalyptic number.

It is an amenable number.

211121021122121 is a deficient number, since it is larger than the sum of its proper divisors (21707618954359).

211121021122121 is a wasteful number, since it uses less digits than its factorization.

211121021122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119412824.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 211121021122121 its reverse (121221120121112), we get a palindrome (332342141243233).

The spelling of 211121021122121 in words is "two hundred eleven trillion, one hundred twenty-one billion, twenty-one million, one hundred twenty-two thousand, one hundred twenty-one".