10111122101201 has 16 divisors (see below), whose sum is σ = 11391816941568. Its totient is φ = 8890973691600.

The previous prime is 10111122101183. The next prime is 10111122101237. The reversal of 10111122101201 is 10210122111101.

It is a de Polignac number, because none of the positive numbers 2^k-10111122101201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10111122101291) 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, 6718721 + ... + 8084766.

It is an arithmetic number, because the mean of its divisors is an integer number (711988558848).

Almost surely, 2^{10111122101201} is an apocalyptic number.

10111122101201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111122101201 is a deficient number, since it is larger than the sum of its proper divisors (1280694840367).

10111122101201 is a wasteful number, since it uses less digits than its factorization.

10111122101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14805532.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10111122101201 its reverse (10210122111101), we get a palindrome (20321244212302).

The spelling of 10111122101201 in words is "ten trillion, one hundred eleven billion, one hundred twenty-two million, one hundred one thousand, two hundred one".