101112111 has 32 divisors (see below), whose sum is σ = 156211200. Its totient is φ = 64566720.

The previous prime is 101112103. The next prime is 101112119. The reversal of 101112111 is 111211101.

It is an interprime number because it is at equal distance from previous prime (101112103) and next prime (101112119).

It is not a de Polignac number, because 101112111 - 2³ = 101112103 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 101112093 and 101112102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88995 + ... + 90123.

It is an arithmetic number, because the mean of its divisors is an integer number (4881600).

Almost surely, 2^101112111 is an apocalyptic number.

101112111 is a deficient number, since it is larger than the sum of its proper divisors (55099089).

101112111 is a wasteful number, since it uses less digits than its factorization.

101112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1270 counting only the distinct ones).

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

The square root of 101112111 is about 10055.4518048669. The cubic root of 101112111 is about 465.8731979528.

Adding to 101112111 its reverse (111211101), we get a palindrome (212323212).

It can be divided in two parts, 1011 and 12111, that multiplied together give a palindrome (12244221).

The spelling of 101112111 in words is "one hundred one million, one hundred twelve thousand, one hundred eleven".