21112122021201 has 24 divisors (see below), whose sum is σ = 30809677567656. Its totient is φ = 13929757574400.

The previous prime is 21112122021191. The next prime is 21112122021217. The reversal of 21112122021201 is 10212022121112.

21112122021201 is a `hidden beast` number, since 211 + 1 + 21 + 220 + 212 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12039345490176 + 9072776531025 = 3469776^2 + 3012105^2 .

It is not a de Polignac number, because 21112122021201 - 2¹⁷ = 21112121890129 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21112124021201) 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 23 ways as a sum of consecutive naturals, for example, 2447890 + ... + 6943803.

It is an arithmetic number, because the mean of its divisors is an integer number (1283736565319).

Almost surely, 2^{21112122021201} is an apocalyptic number.

It is an amenable number.

21112122021201 is a deficient number, since it is larger than the sum of its proper divisors (9697555546455).

21112122021201 is a wasteful number, since it uses less digits than its factorization.

21112122021201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9394273 (or 9394270 counting only the distinct ones).

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

Adding to 21112122021201 its reverse (10212022121112), we get a palindrome (31324144142313).

The spelling of 21112122021201 in words is "twenty-one trillion, one hundred twelve billion, one hundred twenty-two million, twenty-one thousand, two hundred one".