21220201132993 has 2 divisors, whose sum is σ = 21220201132994. Its totient is φ = 21220201132992.

The previous prime is 21220201132987. The next prime is 21220201133071. The reversal of 21220201132993 is 39923110202212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16502825642689 + 4717375490304 = 4062367^2 + 2171952^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21220201132993 is a prime.

It is a super-2 number, since 2×21220201132993² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21220201132393) 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, 10610100566496 + 10610100566497.

It is an arithmetic number, because the mean of its divisors is an integer number (10610100566497).

Almost surely, 2^{21220201132993} is an apocalyptic number.

It is an amenable number.

21220201132993 is a deficient number, since it is larger than the sum of its proper divisors (1).

21220201132993 is an equidigital number, since it uses as much as digits as its factorization.

21220201132993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 21220201132993 in words is "twenty-one trillion, two hundred twenty billion, two hundred one million, one hundred thirty-two thousand, nine hundred ninety-three".