102112111 has 16 divisors (see below), whose sum is σ = 108838080. Its totient is φ = 95603200.

The previous prime is 102112063. The next prime is 102112121. The reversal of 102112111 is 111211201.

It is a cyclic number.

It is not a de Polignac number, because 102112111 - 2¹⁹ = 101587823 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 (102112121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262305 + ... + 262693.

It is an arithmetic number, because the mean of its divisors is an integer number (6802380).

Almost surely, 2^102112111 is an apocalyptic number.

102112111 is a deficient number, since it is larger than the sum of its proper divisors (6725969).

102112111 is a wasteful number, since it uses less digits than its factorization.

102112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626.

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 102112111 is about 10105.0537356315. The cubic root of 102112111 is about 467.4039929821.

Adding to 102112111 its reverse (111211201), we get a palindrome (213323312).

The spelling of 102112111 in words is "one hundred two million, one hundred twelve thousand, one hundred eleven".