20102112 has 72 divisors (see below), whose sum is σ = 57605184. Its totient is φ = 6649344.

The previous prime is 20102111. The next prime is 20102119. The reversal of 20102112 is 21120102.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 20102094 and 20102103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102111) 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 11 ways as a sum of consecutive naturals, for example, 64068 + ... + 64380.

It is an arithmetic number, because the mean of its divisors is an integer number (800072).

Almost surely, 2^20102112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28802592).

20102112 is an abundant number, since it is smaller than the sum of its proper divisors (37503072).

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

20102112 is a wasteful number, since it uses less digits than its factorization.

20102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 20102112 is about 4483.5378887660. The cubic root of 20102112 is about 271.9029353776.

Adding to 20102112 its reverse (21120102), we get a palindrome (41222214).

The spelling of 20102112 in words is "twenty million, one hundred two thousand, one hundred twelve".