20001020120201 has 16 divisors (see below), whose sum is σ = 20713011135120. Its totient is φ = 19301439006720.

The previous prime is 20001020120149. The next prime is 20001020120233. The reversal of 20001020120201 is 10202102010002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 617261635600 + 19383758484601 = 785660^2 + 4402699^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20001020120201 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20001020122201) 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 in 15 ways as a sum of consecutive naturals, for example, 201149585 + ... + 201248993.

It is an arithmetic number, because the mean of its divisors is an integer number (1294563195945).

Almost surely, 2^{20001020120201} is an apocalyptic number.

It is an amenable number.

20001020120201 is a deficient number, since it is larger than the sum of its proper divisors (711991014919).

20001020120201 is an equidigital number, since it uses as much as digits as its factorization.

20001020120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161756.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20001020120201 its reverse (10202102010002), we get a palindrome (30203122130203).

The spelling of 20001020120201 in words is "twenty trillion, one billion, twenty million, one hundred twenty thousand, two hundred one".