10112112122201 has 8 divisors (see below), whose sum is σ = 10121921040000. Its totient is φ = 10102305795120.

The previous prime is 10112112122197. The next prime is 10112112122207. The reversal of 10112112122201 is 10222121121101.

10112112122201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10112112122201 - 2² = 10112112122197 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 10112112122201.

It is not an unprimeable number, because it can be changed into a prime (10112112122207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7208675 + ... + 8496423.

It is an arithmetic number, because the mean of its divisors is an integer number (1265240130000).

Almost surely, 2^{10112112122201} is an apocalyptic number.

It is an amenable number.

10112112122201 is a deficient number, since it is larger than the sum of its proper divisors (9808917799).

10112112122201 is a wasteful number, since it uses less digits than its factorization.

10112112122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295359.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10112112122201 its reverse (10222121121101), we get a palindrome (20334233243302).

The spelling of 10112112122201 in words is "ten trillion, one hundred twelve billion, one hundred twelve million, one hundred twenty-two thousand, two hundred one".