21122122112201 has 16 divisors (see below), whose sum is σ = 23050712125440. Its totient is φ = 19194932795280.

The previous prime is 21122122112183. The next prime is 21122122112249. The reversal of 21122122112201 is 10221122122112.

It is not a de Polignac number, because 21122122112201 - 2¹⁰ = 21122122111177 is a prime.

It is a super-2 number, since 2×21122122112201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21122122172201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478081130 + ... + 478125308.

It is an arithmetic number, because the mean of its divisors is an integer number (1440669507840).

Almost surely, 2^{21122122112201} is an apocalyptic number.

It is an amenable number.

21122122112201 is a deficient number, since it is larger than the sum of its proper divisors (1928590013239).

21122122112201 is a wasteful number, since it uses less digits than its factorization.

21122122112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59044.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 21122122112201 its reverse (10221122122112), we get a palindrome (31343244234313).

The spelling of 21122122112201 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twelve thousand, two hundred one".