10121112111 has 16 divisors (see below), whose sum is σ = 14723958528. Its totient is φ = 6133032000.

The previous prime is 10121112103. The next prime is 10121112137. The reversal of 10121112111 is 11121112101.

It is not a de Polignac number, because 10121112111 - 2³ = 10121112103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121112161) 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 15 ways as a sum of consecutive naturals, for example, 224086 + ... + 265436.

It is an arithmetic number, because the mean of its divisors is an integer number (920247408).

Almost surely, 2^10121112111 is an apocalyptic number.

10121112111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10121112111 is a deficient number, since it is larger than the sum of its proper divisors (4602846417).

10121112111 is a wasteful number, since it uses less digits than its factorization.

10121112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48782.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10121112111 its reverse (11121112101), we get a palindrome (21242224212).

The spelling of 10121112111 in words is "ten billion, one hundred twenty-one million, one hundred twelve thousand, one hundred eleven".