10122122012201 has 8 divisors (see below), whose sum is σ = 10135506947400. Its totient is φ = 10108744750720.

The previous prime is 10122122012159. The next prime is 10122122012207. The reversal of 10122122012201 is 10221022122101.

It can be written as a sum of positive squares in 4 ways, for example, as 1142870040601 + 8979251971600 = 1069051^2 + 2996540^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10122122012201 - 2³⁴ = 10104942143017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10122122012201.

It is not an unprimeable number, because it can be changed into a prime (10122122012207) 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 7 ways as a sum of consecutive naturals, for example, 723845 + ... + 4557213.

It is an arithmetic number, because the mean of its divisors is an integer number (1266938368425).

Almost surely, 2^{10122122012201} is an apocalyptic number.

It is an amenable number.

10122122012201 is a deficient number, since it is larger than the sum of its proper divisors (13384935199).

10122122012201 is a wasteful number, since it uses less digits than its factorization.

10122122012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836859.

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

Adding to 10122122012201 its reverse (10221022122101), we get a palindrome (20343144134302).

The spelling of 10122122012201 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-two million, twelve thousand, two hundred one".