2010221001953 has 2 divisors, whose sum is σ = 2010221001954. Its totient is φ = 2010221001952.

The previous prime is 2010221001947. The next prime is 2010221002007. The reversal of 2010221001953 is 3591001220102.

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., 1621415129104 + 388805872849 = 1273348^2 + 623543^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010221001953 - 2¹⁸ = 2010220739809 is a prime.

It is not a weakly prime, because it can be changed into another prime (2010221001923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005110500976 + 1005110500977.

It is an arithmetic number, because the mean of its divisors is an integer number (1005110500977).

Almost surely, 2^{2010221001953} is an apocalyptic number.

It is an amenable number.

2010221001953 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010221001953 is an equidigital number, since it uses as much as digits as its factorization.

2010221001953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 2010221001953 in words is "two trillion, ten billion, two hundred twenty-one million, one thousand, nine hundred fifty-three".