10122200202201 has 48 divisors (see below), whose sum is σ = 14042583429120. Its totient is φ = 6484215337600.

The previous prime is 10122200202097. The next prime is 10122200202209. The reversal of 10122200202201 is 10220200222101.

10122200202201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10122200202201 - 2²¹ = 10122198105049 is a prime.

It is a super-3 number, since 3×10122200202201³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10122200202209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364842136 + ... + 364869878.

It is an arithmetic number, because the mean of its divisors is an integer number (292553821440).

Almost surely, 2^{10122200202201} is an apocalyptic number.

It is an amenable number.

10122200202201 is a deficient number, since it is larger than the sum of its proper divisors (3920383226919).

10122200202201 is a wasteful number, since it uses less digits than its factorization.

10122200202201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28918 (or 28877 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10122200202201 its reverse (10220200222101), we get a palindrome (20342400424302).

The spelling of 10122200202201 in words is "ten trillion, one hundred twenty-two billion, two hundred million, two hundred two thousand, two hundred one".