102113112 has 32 divisors (see below), whose sum is σ = 256132800. Its totient is φ = 33924384.

The previous prime is 102113111. The next prime is 102113117. The reversal of 102113112 is 211311201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102113111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439 + ... + 14297.

It is an arithmetic number, because the mean of its divisors is an integer number (8004150).

Almost surely, 2^102113112 is an apocalyptic number.

102113112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102113112 is an abundant number, since it is smaller than the sum of its proper divisors (154019688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102113112 is a wasteful number, since it uses less digits than its factorization.

102113112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14175 (or 14171 counting only the distinct ones).

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

The square root of 102113112 is about 10105.1032651824. The cubic root of 102113112 is about 467.4055202898.

Adding to 102113112 its reverse (211311201), we get a palindrome (313424313).

The spelling of 102113112 in words is "one hundred two million, one hundred thirteen thousand, one hundred twelve".