21201945093401 has 2 divisors, whose sum is σ = 21201945093402. Its totient is φ = 21201945093400.

The previous prime is 21201945093341. The next prime is 21201945093467. The reversal of 21201945093401 is 10439054910212.

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., 13371462203401 + 7830482890000 = 3656701^2 + 2798300^2 .

It is a cyclic number.

It is not a de Polignac number, because 21201945093401 - 2⁶ = 21201945093337 is a prime.

It is a super-2 number, since 2×21201945093401² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21201945593401) 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, 10600972546700 + 10600972546701.

It is an arithmetic number, because the mean of its divisors is an integer number (10600972546701).

Almost surely, 2^{21201945093401} is an apocalyptic number.

It is an amenable number.

21201945093401 is a deficient number, since it is larger than the sum of its proper divisors (1).

21201945093401 is an equidigital number, since it uses as much as digits as its factorization.

21201945093401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 41.

The spelling of 21201945093401 in words is "twenty-one trillion, two hundred one billion, nine hundred forty-five million, ninety-three thousand, four hundred one".