21001200112201 has 2 divisors, whose sum is σ = 21001200112202. Its totient is φ = 21001200112200.

The previous prime is 21001200112183. The next prime is 21001200112259. The reversal of 21001200112201 is 10221100210012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20071287049801 + 929913062400 = 4480099^2 + 964320^2 .

It is a cyclic number.

It is not a de Polignac number, because 21001200112201 - 2¹³ = 21001200104009 is a prime.

It is a super-2 number, since 2×21001200112201² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21001200112261) 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 as a sum of consecutive naturals, namely, 10500600056100 + 10500600056101.

It is an arithmetic number, because the mean of its divisors is an integer number (10500600056101).

Almost surely, 2^{21001200112201} is an apocalyptic number.

It is an amenable number.

21001200112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

21001200112201 is an equidigital number, since it uses as much as digits as its factorization.

21001200112201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21001200112201 its reverse (10221100210012), we get a palindrome (31222300322213).

The spelling of 21001200112201 in words is "twenty-one trillion, one billion, two hundred million, one hundred twelve thousand, two hundred one".