10112100111 has 24 divisors (see below), whose sum is σ = 15006621344. Its totient is φ = 6556800960.

The previous prime is 10112100071. The next prime is 10112100133. The reversal of 10112100111 is 11100121101.

It is not a de Polignac number, because 10112100111 - 2¹⁰ = 10112099087 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10112100093 and 10112100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112100511) 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 23 ways as a sum of consecutive naturals, for example, 1615590 + ... + 1621836.

Almost surely, 2^10112100111 is an apocalyptic number.

10112100111 is a deficient number, since it is larger than the sum of its proper divisors (4894521233).

10112100111 is a wasteful number, since it uses less digits than its factorization.

10112100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11151 (or 11148 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10112100111 its reverse (11100121101), we get a palindrome (21212221212).

The spelling of 10112100111 in words is "ten billion, one hundred twelve million, one hundred thousand, one hundred eleven".