10112101001111 has 8 divisors (see below), whose sum is σ = 10118818046304. Its totient is φ = 10105386188800.

The previous prime is 10112101001089. The next prime is 10112101001117. The reversal of 10112101001111 is 11110010121101.

It is a happy number.

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 10112101001111 - 2⁶ = 10112101001047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10112101001092 and 10112101001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112101001117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8551511 + ... + 9661911.

It is an arithmetic number, because the mean of its divisors is an integer number (1264852255788).

Almost surely, 2^{10112101001111} is an apocalyptic number.

10112101001111 is a deficient number, since it is larger than the sum of its proper divisors (6717045193).

10112101001111 is a wasteful number, since it uses less digits than its factorization.

10112101001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116441.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10112101001111 its reverse (11110010121101), we get a palindrome (21222111122212).

The spelling of 10112101001111 in words is "ten trillion, one hundred twelve billion, one hundred one million, one thousand, one hundred eleven".