201020001101121 has 16 divisors (see below), whose sum is σ = 275835869650304. Its totient is φ = 130123607981184.

The previous prime is 201020001101093. The next prime is 201020001101123. The reversal of 201020001101121 is 121101100020102.

It is not a de Polignac number, because 201020001101121 - 2¹⁵ = 201020001068353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201020001101097 and 201020001101106.

It is not an unprimeable number, because it can be changed into a prime (201020001101123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1859279620 + ... + 1859387733.

It is an arithmetic number, because the mean of its divisors is an integer number (17239741853144).

Almost surely, 2^{201020001101121} is an apocalyptic number.

It is an amenable number.

201020001101121 is a deficient number, since it is larger than the sum of its proper divisors (74815868549183).

201020001101121 is a wasteful number, since it uses less digits than its factorization.

201020001101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718667880.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201020001101121 its reverse (121101100020102), we get a palindrome (322121101121223).

The spelling of 201020001101121 in words is "two hundred one trillion, twenty billion, one million, one hundred one thousand, one hundred twenty-one".