2010541254401 has 2 divisors, whose sum is σ = 2010541254402. Its totient is φ = 2010541254400.

The previous prime is 2010541254391. The next prime is 2010541254467. The reversal of 2010541254401 is 1044521450102.

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., 1008570284176 + 1001970970225 = 1004276^2 + 1000985^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2010541254401 is a prime.

It is a super-2 number, since 2×2010541254401² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2010541254481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005270627200 + 1005270627201.

It is an arithmetic number, because the mean of its divisors is an integer number (1005270627201).

Almost surely, 2^{2010541254401} is an apocalyptic number.

It is an amenable number.

2010541254401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010541254401 is an equidigital number, since it uses as much as digits as its factorization.

2010541254401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6400, while the sum is 29.

The spelling of 2010541254401 in words is "two trillion, ten billion, five hundred forty-one million, two hundred fifty-four thousand, four hundred one".