201001320013121 has 16 divisors (see below), whose sum is σ = 201896880549120. Its totient is φ = 200106672353280.

The previous prime is 201001320013099. The next prime is 201001320013303. The reversal of 201001320013121 is 121310023100102.

201001320013121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 201001320013121 - 2³⁴ = 200984140143937 is a prime.

It is a super-2 number, since 2×201001320013121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 201001320013121.

It is not an unprimeable number, because it can be changed into a prime (201001328013121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3475157720 + ... + 3475215558.

It is an arithmetic number, because the mean of its divisors is an integer number (12618555034320).

Almost surely, 2^{201001320013121} is an apocalyptic number.

It is an amenable number.

201001320013121 is a deficient number, since it is larger than the sum of its proper divisors (895560535999).

201001320013121 is a wasteful number, since it uses less digits than its factorization.

201001320013121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65464.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 201001320013121 its reverse (121310023100102), we get a palindrome (322311343113223).

The spelling of 201001320013121 in words is "two hundred one trillion, one billion, three hundred twenty million, thirteen thousand, one hundred twenty-one".