10201101121201 has 4 divisors (see below), whose sum is σ = 10201180912372. Its totient is φ = 10201021330032.

The previous prime is 10201101121199. The next prime is 10201101121207. The reversal of 10201101121201 is 10212110110201.

It is a happy number.

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 4089600220176 + 6111500901025 = 2022276^2 + 2472145^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201101121201 - 2¹ = 10201101121199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10201101121207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39703506 + ... + 39959611.

It is an arithmetic number, because the mean of its divisors is an integer number (2550295228093).

Almost surely, 2^{10201101121201} is an apocalyptic number.

It is an amenable number.

10201101121201 is a deficient number, since it is larger than the sum of its proper divisors (79791171).

10201101121201 is an equidigital number, since it uses as much as digits as its factorization.

10201101121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79791170.

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

Adding to 10201101121201 its reverse (10212110110201), we get a palindrome (20413211231402).

The spelling of 10201101121201 in words is "ten trillion, two hundred one billion, one hundred one million, one hundred twenty-one thousand, two hundred one".