20000201012001 has 48 divisors (see below), whose sum is σ = 33060280905600. Its totient is φ = 11413438721280.

The previous prime is 20000201011993. The next prime is 20000201012047. The reversal of 20000201012001 is 10021010200002.

It is not a de Polignac number, because 20000201012001 - 2³ = 20000201011993 is a prime.

It is a super-3 number, since 3×20000201012001³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20000201062001) 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 in 47 ways as a sum of consecutive naturals, for example, 154916925 + ... + 155045973.

It is an arithmetic number, because the mean of its divisors is an integer number (688755852200).

Almost surely, 2^{20000201012001} is an apocalyptic number.

20000201012001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20000201012001 is a deficient number, since it is larger than the sum of its proper divisors (13060079893599).

20000201012001 is a wasteful number, since it uses less digits than its factorization.

20000201012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132326 (or 132323 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20000201012001 its reverse (10021010200002), we get a palindrome (30021211212003).

The spelling of 20000201012001 in words is "twenty trillion, two hundred one million, twelve thousand, one".