211012221121 has 16 divisors (see below), whose sum is σ = 227575111680. Its totient is φ = 194496868800.

The previous prime is 211012221103. The next prime is 211012221143. The reversal of 211012221121 is 121122210112.

It is not a de Polignac number, because 211012221121 - 2⁵ = 211012221089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211012221095 and 211012221104.

It is not an unprimeable number, because it can be changed into a prime (211012221191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35743656 + ... + 35749558.

It is an arithmetic number, because the mean of its divisors is an integer number (14223444480).

Almost surely, 2^211012221121 is an apocalyptic number.

It is an amenable number.

211012221121 is a deficient number, since it is larger than the sum of its proper divisors (16562890559).

211012221121 is a wasteful number, since it uses less digits than its factorization.

211012221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9456.

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

Adding to 211012221121 its reverse (121122210112), we get a palindrome (332134431233).

The spelling of 211012221121 in words is "two hundred eleven billion, twelve million, two hundred twenty-one thousand, one hundred twenty-one".