201020111102101 has 32 divisors (see below), whose sum is σ = 221699240017920. Its totient is φ = 181535346590400.

The previous prime is 201020111102017. The next prime is 201020111102159. The reversal of 201020111102101 is 101201111020102.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 201020111102101 - 2¹⁵ = 201020111069333 is a prime.

It is a super-2 number, since 2×201020111102101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020111102501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 702574611 + ... + 702860671.

It is an arithmetic number, because the mean of its divisors is an integer number (6928101250560).

Almost surely, 2^{201020111102101} is an apocalyptic number.

It is an amenable number.

201020111102101 is a deficient number, since it is larger than the sum of its proper divisors (20679128915819).

201020111102101 is a wasteful number, since it uses less digits than its factorization.

201020111102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303985.

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

Adding to 201020111102101 its reverse (101201111020102), we get a palindrome (302221222122203).

The spelling of 201020111102101 in words is "two hundred one trillion, twenty billion, one hundred eleven million, one hundred two thousand, one hundred one".