21121200001201 has 2 divisors, whose sum is σ = 21121200001202. Its totient is φ = 21121200001200.

The previous prime is 21121200001183. The next prime is 21121200001301. The reversal of 21121200001201 is 10210000212112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20122401640000 + 998798361201 = 4485800^2 + 999399^2 .

It is a cyclic number.

It is not a de Polignac number, because 21121200001201 - 2¹¹ = 21121199999153 is a prime.

It is a super-3 number, since 3×21121200001201³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (21121200001301) 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 as a sum of consecutive naturals, namely, 10560600000600 + 10560600000601.

It is an arithmetic number, because the mean of its divisors is an integer number (10560600000601).

Almost surely, 2^{21121200001201} is an apocalyptic number.

It is an amenable number.

21121200001201 is a deficient number, since it is larger than the sum of its proper divisors (1).

21121200001201 is an equidigital number, since it uses as much as digits as its factorization.

21121200001201 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 21121200001201 its reverse (10210000212112), we get a palindrome (31331200213313).

The spelling of 21121200001201 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred million, one thousand, two hundred one".