10201122201121 has 4 divisors (see below), whose sum is σ = 10201161376132. Its totient is φ = 10201083026112.

The previous prime is 10201122201119. The next prime is 10201122201133. The reversal of 10201122201121 is 12110222110201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 9570138222096 + 630983979025 = 3093564^2 + 794345^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201122201121 - 2¹ = 10201122201119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10201122201095 and 10201122201104.

It is not an unprimeable number, because it can be changed into a prime (10201122201181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19194276 + ... + 19718581.

It is an arithmetic number, because the mean of its divisors is an integer number (2550290344033).

Almost surely, 2^{10201122201121} is an apocalyptic number.

It is an amenable number.

10201122201121 is a deficient number, since it is larger than the sum of its proper divisors (39175011).

10201122201121 is an equidigital number, since it uses as much as digits as its factorization.

10201122201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39175010.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10201122201121 its reverse (12110222110201), we get a palindrome (22311344311322).

The spelling of 10201122201121 in words is "ten trillion, two hundred one billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty-one".