12821402840101 has 2 divisors, whose sum is σ = 12821402840102. Its totient is φ = 12821402840100.

The previous prime is 12821402840089. The next prime is 12821402840111. The reversal of 12821402840101 is 10104820412821.

It is a happy number.

12821402840101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12803694150625 + 17708689476 = 3578225^2 + 133074^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12821402840101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12821402840111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6410701420050 + 6410701420051.

It is an arithmetic number, because the mean of its divisors is an integer number (6410701420051).

Almost surely, 2^{12821402840101} is an apocalyptic number.

It is an amenable number.

12821402840101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12821402840101 is an equidigital number, since it uses as much as digits as its factorization.

12821402840101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8192, while the sum is 34.

The spelling of 12821402840101 in words is "twelve trillion, eight hundred twenty-one billion, four hundred two million, eight hundred forty thousand, one hundred one".