102101112 has 96 divisors (see below), whose sum is σ = 289364400. Its totient is φ = 32481792.

The previous prime is 102101107. The next prime is 102101113. The reversal of 102101112 is 211101201.

It is a happy number.

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 = 102101094 and 102101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101113) 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 23 ways as a sum of consecutive naturals, for example, 223188 + ... + 223644.

Almost surely, 2^102101112 is an apocalyptic number.

102101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144682200).

102101112 is an abundant number, since it is smaller than the sum of its proper divisors (187263288).

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

102101112 is a wasteful number, since it uses less digits than its factorization.

102101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 102101112 is about 10104.5094883423. The cubic root of 102101112 is about 467.3872102483.

Adding to 102101112 its reverse (211101201), we get a palindrome (313202313).

The spelling of 102101112 in words is "one hundred two million, one hundred one thousand, one hundred twelve".