1001020120201 has 2 divisors, whose sum is σ = 1001020120202. Its totient is φ = 1001020120200.

The previous prime is 1001020120157. The next prime is 1001020120207. The reversal of 1001020120201 is 1020210201001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1000070001225 + 950118976 = 1000035^2 + 30824^2 .

It is an emirp because it is prime and its reverse (1020210201001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001020120201 - 2³³ = 992430185609 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001020120207) 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, 500510060100 + 500510060101.

It is an arithmetic number, because the mean of its divisors is an integer number (500510060101).

Almost surely, 2^{1001020120201} is an apocalyptic number.

It is an amenable number.

1001020120201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001020120201 is an equidigital number, since it uses as much as digits as its factorization.

1001020120201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001020120201 its reverse (1020210201001), we get a palindrome (2021230321202).

The spelling of 1001020120201 in words is "one trillion, one billion, twenty million, one hundred twenty thousand, two hundred one".