1020402040201 has 2 divisors, whose sum is σ = 1020402040202. Its totient is φ = 1020402040200.

The previous prime is 1020402040187. The next prime is 1020402040213.

1020402040201 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1020304030201 + 98010000 = 1010101^2 + 9900^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 1020402040201 - 2¹³ = 1020402032009 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020402040261) 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, 510201020100 + 510201020101.

It is an arithmetic number, because the mean of its divisors is an integer number (510201020101).

Almost surely, 2^{1020402040201} is an apocalyptic number.

It is an amenable number.

1020402040201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020402040201 is an equidigital number, since it uses as much as digits as its factorization.

1020402040201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 16.

The spelling of 1020402040201 in words is "one trillion, twenty billion, four hundred two million, forty thousand, two hundred one".