10122122120201 has 24 divisors (see below), whose sum is σ = 12557685596544. Its totient is φ = 7988739782400.

The previous prime is 10122122120197. The next prime is 10122122120207. The reversal of 10122122120201 is 10202122122101.

10122122120201 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 10122122120201 - 2² = 10122122120197 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 10122122120201.

It is not an unprimeable number, because it can be changed into a prime (10122122120207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10194341 + ... + 11143106.

It is an arithmetic number, because the mean of its divisors is an integer number (523236899856).

Almost surely, 2^{10122122120201} is an apocalyptic number.

It is an amenable number.

10122122120201 is a deficient number, since it is larger than the sum of its proper divisors (2435563476343).

10122122120201 is a wasteful number, since it uses less digits than its factorization.

10122122120201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21337881 (or 21337868 counting only the distinct ones).

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

Adding to 10122122120201 its reverse (10202122122101), we get a palindrome (20324244242302).

The spelling of 10122122120201 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty thousand, two hundred one".