211221111001121 has 8 divisors (see below), whose sum is σ = 228830977927104. Its totient is φ = 193805828240400.

The previous prime is 211221111001051. The next prime is 211221111001151. The reversal of 211221111001121 is 121100111122112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 211221111001121 - 2⁴⁶ = 140852366823457 is a prime.

It is a super-2 number, since 2×211221111001121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211221111001121.

It is not an unprimeable number, because it can be changed into a prime (211221111001151) 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 7 ways as a sum of consecutive naturals, for example, 48646039055 + ... + 48646043396.

It is an arithmetic number, because the mean of its divisors is an integer number (28603872240888).

Almost surely, 2^{211221111001121} is an apocalyptic number.

It is an amenable number.

211221111001121 is a deficient number, since it is larger than the sum of its proper divisors (17609866925983).

211221111001121 is a wasteful number, since it uses less digits than its factorization.

211221111001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97292082631.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 211221111001121 its reverse (121100111122112), we get a palindrome (332321222123233).

The spelling of 211221111001121 in words is "two hundred eleven trillion, two hundred twenty-one billion, one hundred eleven million, one thousand, one hundred twenty-one".