10201121222201 has 16 divisors (see below), whose sum is σ = 12555782265600. Its totient is φ = 8070859268928.

The previous prime is 10201121222179. The next prime is 10201121222273. The reversal of 10201121222201 is 10222212110201.

It is a cyclic number.

It is not a de Polignac number, because 10201121222201 - 2¹⁰ = 10201121221177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10201121222201.

It is not an unprimeable number, because it can be changed into a prime (10201121221201) 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, 407666 + ... + 4535243.

It is an arithmetic number, because the mean of its divisors is an integer number (784736391600).

Almost surely, 2^{10201121222201} is an apocalyptic number.

It is an amenable number.

10201121222201 is a deficient number, since it is larger than the sum of its proper divisors (2354661043399).

10201121222201 is a wasteful number, since it uses less digits than its factorization.

10201121222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4965608.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10201121222201 its reverse (10222212110201), we get a palindrome (20423333332402).

The spelling of 10201121222201 in words is "ten trillion, two hundred one billion, one hundred twenty-one million, two hundred twenty-two thousand, two hundred one".