201020111122001 has 16 divisors (see below), whose sum is σ = 207031366983168. Its totient is φ = 195064356748800.

The previous prime is 201020111121989. The next prime is 201020111122093. The reversal of 201020111122001 is 100221111020102.

201020111122001 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 a de Polignac number, because none of the positive numbers 2^k-201020111122001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201020111122601) 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, 11121176 + ... + 22928601.

It is an arithmetic number, because the mean of its divisors is an integer number (12939460436448).

Almost surely, 2^{201020111122001} is an apocalyptic number.

It is an amenable number.

201020111122001 is a deficient number, since it is larger than the sum of its proper divisors (6011255861167).

201020111122001 is a wasteful number, since it uses less digits than its factorization.

201020111122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34050592.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201020111122001 its reverse (100221111020102), we get a palindrome (301241222142103).

The spelling of 201020111122001 in words is "two hundred one trillion, twenty billion, one hundred eleven million, one hundred twenty-two thousand, one".