201020101101121 has 16 divisors (see below), whose sum is σ = 204365536174800. Its totient is φ = 197676286617600.

The previous prime is 201020101101089. The next prime is 201020101101139. The reversal of 201020101101121 is 121101101020102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2536072175025 + 198484028926096 = 1592505^2 + 14088436^2 .

It is a cyclic number.

It is not a de Polignac number, because 201020101101121 - 2⁵ = 201020101101089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201020101101221) 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, 5109664911 + ... + 5109704251.

It is an arithmetic number, because the mean of its divisors is an integer number (12772846010925).

Almost surely, 2^{201020101101121} is an apocalyptic number.

It is an amenable number.

201020101101121 is a deficient number, since it is larger than the sum of its proper divisors (3345435073679).

201020101101121 is a wasteful number, since it uses less digits than its factorization.

201020101101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57780.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 201020101101121 its reverse (121101101020102), we get a palindrome (322121202121223).

The spelling of 201020101101121 in words is "two hundred one trillion, twenty billion, one hundred one million, one hundred one thousand, one hundred twenty-one".