10112101100111 has 8 divisors (see below), whose sum is σ = 10469833563648. Its totient is φ = 9756339615000.

The previous prime is 10112101100093. The next prime is 10112101100119. The reversal of 10112101100111 is 11100110121101.

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 10112101100111 - 2¹⁸ = 10112100837967 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10112101100092 and 10112101100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112101100119) 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, 492734165 + ... + 492754686.

It is an arithmetic number, because the mean of its divisors is an integer number (1308729195456).

Almost surely, 2^{10112101100111} is an apocalyptic number.

10112101100111 is a deficient number, since it is larger than the sum of its proper divisors (357732463537).

10112101100111 is an equidigital number, since it uses as much as digits as its factorization.

10112101100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985489213.

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

Adding to 10112101100111 its reverse (11100110121101), we get a palindrome (21212211221212).

The spelling of 10112101100111 in words is "ten trillion, one hundred twelve billion, one hundred one million, one hundred thousand, one hundred eleven".