211120012012221 has 36 divisors (see below), whose sum is σ = 349637666995188. Its totient is φ = 122277654001152.

The previous prime is 211120012012207. The next prime is 211120012012249. The reversal of 211120012012221 is 122210210021112.

211120012012221 is a `hidden beast` number, since 2 + 111 + 200 + 120 + 12 + 221 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 32531908505625 + 178588103506596 = 5703675^2 + 13363686^2 .

It is not a de Polignac number, because 211120012012221 - 2⁷ = 211120012012093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211120012012194 and 211120012012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211120014012221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4082427870 + ... + 4082479583.

It is an arithmetic number, because the mean of its divisors is an integer number (9712157416533).

Almost surely, 2^{211120012012221} is an apocalyptic number.

It is an amenable number.

211120012012221 is a deficient number, since it is larger than the sum of its proper divisors (138517654982967).

211120012012221 is a wasteful number, since it uses less digits than its factorization.

211120012012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8164907502 (or 8164907486 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211120012012221 its reverse (122210210021112), we get a palindrome (333330222033333).

The spelling of 211120012012221 in words is "two hundred eleven trillion, one hundred twenty billion, twelve million, twelve thousand, two hundred twenty-one".