10122000002201 has 16 divisors (see below), whose sum is σ = 10372739504400. Its totient is φ = 9873631272960.

The previous prime is 10122000002183. The next prime is 10122000002203. The reversal of 10122000002201 is 10220000022101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 32965849225 + 10089034152976 = 181565^2 + 3176324^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122000002201 - 2²² = 10121995807897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122000002203) 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, 5930111 + ... + 7443803.

It is an arithmetic number, because the mean of its divisors is an integer number (648296219025).

Almost surely, 2^{10122000002201} is an apocalyptic number.

It is an amenable number.

10122000002201 is a deficient number, since it is larger than the sum of its proper divisors (250739502199).

10122000002201 is a wasteful number, since it uses less digits than its factorization.

10122000002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514476.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10122000002201 its reverse (10220000022101), we get a palindrome (20342000024302).

The spelling of 10122000002201 in words is "ten trillion, one hundred twenty-two billion, two thousand, two hundred one".