20101112112 has 80 divisors (see below), whose sum is σ = 52654129920. Its totient is φ = 6607200000.

The previous prime is 20101112099. The next prime is 20101112117. The reversal of 20101112112 is 21121110102.

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

It is not an unprimeable number, because it can be changed into a prime (20101112117) 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, 1208589 + ... + 1225107.

It is an arithmetic number, because the mean of its divisors is an integer number (658176624).

Almost surely, 2^20101112112 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 20101112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26327064960).

20101112112 is an abundant number, since it is smaller than the sum of its proper divisors (32553017808).

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

20101112112 is a wasteful number, since it uses less digits than its factorization.

20101112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16882 (or 16876 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20101112112 its reverse (21121110102), we get a palindrome (41222222214).

The spelling of 20101112112 in words is "twenty billion, one hundred one million, one hundred twelve thousand, one hundred twelve".