9001020001 has 2 divisors, whose sum is σ = 9001020002. Its totient is φ = 9001020000.

The previous prime is 9001019981. The next prime is 9001020011. The reversal of 9001020001 is 1000201009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8732715601 + 268304400 = 93449^2 + 16380^2 .

It is an emirp because it is prime and its reverse (1000201009) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9001020001 - 2⁷ = 9001019873 is a prime.

It is a super-2 number, since 2×9001020001² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9001020011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4500510000 + 4500510001.

It is an arithmetic number, because the mean of its divisors is an integer number (4500510001).

Almost surely, 2^9001020001 is an apocalyptic number.

It is an amenable number.

9001020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

9001020001 is an equidigital number, since it uses as much as digits as its factorization.

9001020001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 9001020001 is about 94873.7055300361. The cubic root of 9001020001 is about 2080.1624011049.

It can be divided in two parts, 90010 and 20001, that added together give a palindrome (110011).

The spelling of 9001020001 in words is "nine billion, one million, twenty thousand, one".