211011221000121 has 16 divisors (see below), whose sum is σ = 300631205318400. Its totient is φ = 131184525950208.

The previous prime is 211011221000071. The next prime is 211011221000159. The reversal of 211011221000121 is 121000122110112.

It is a happy number.

It is not a de Polignac number, because 211011221000121 - 2²³ = 211011212611513 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211011221000121.

It is not an unprimeable number, because it can be changed into a prime (211011221000161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18979237201 + ... + 18979248318.

It is an arithmetic number, because the mean of its divisors is an integer number (18789450332400).

Almost surely, 2^{211011221000121} is an apocalyptic number.

It is an amenable number.

211011221000121 is a deficient number, since it is larger than the sum of its proper divisors (89619984318279).

211011221000121 is a wasteful number, since it uses less digits than its factorization.

211011221000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37958485648.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211011221000121 its reverse (121000122110112), we get a palindrome (332011343110233).

The spelling of 211011221000121 in words is "two hundred eleven trillion, eleven billion, two hundred twenty-one million, one hundred twenty-one", and thus it is an aban number.