21200121001201 has 2 divisors, whose sum is σ = 21200121001202. Its totient is φ = 21200121001200.

The previous prime is 21200121001183. The next prime is 21200121001229. The reversal of 21200121001201 is 10210012100212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18561448890000 + 2638672111201 = 4308300^2 + 1624399^2 .

It is a cyclic number.

It is not a de Polignac number, because 21200121001201 - 2²¹ = 21200118904049 is a prime.

It is not a weakly prime, because it can be changed into another prime (21200121001261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10600060500600 + 10600060500601.

It is an arithmetic number, because the mean of its divisors is an integer number (10600060500601).

Almost surely, 2^{21200121001201} is an apocalyptic number.

It is an amenable number.

21200121001201 is a deficient number, since it is larger than the sum of its proper divisors (1).

21200121001201 is an equidigital number, since it uses as much as digits as its factorization.

21200121001201 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 21200121001201 its reverse (10210012100212), we get a palindrome (31410133101413).

It can be divided in two parts, 2120012 and 1001201, that added together give a palindrome (3121213).

The spelling of 21200121001201 in words is "twenty-one trillion, two hundred billion, one hundred twenty-one million, one thousand, two hundred one".