100112111 has 8 divisors (see below), whose sum is σ = 109565904. Its totient is φ = 90717120.

The previous prime is 100112107. The next prime is 100112141. The reversal of 100112111 is 111211001.

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 100112111 - 2² = 100112107 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112101) 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, 11096 + ... + 17981.

It is an arithmetic number, because the mean of its divisors is an integer number (13695738).

Almost surely, 2^100112111 is an apocalyptic number.

100112111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100112111 is a deficient number, since it is larger than the sum of its proper divisors (9453793).

100112111 is a wasteful number, since it uses less digits than its factorization.

100112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29401.

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 100112111 is about 10005.6039797705. The cubic root of 100112111 is about 464.3322763018.

Adding to 100112111 its reverse (111211001), we get a palindrome (211323112).

It can be divided in two parts, 100 and 112111, that added together give a palindrome (112211).

The spelling of 100112111 in words is "one hundred million, one hundred twelve thousand, one hundred eleven".