101112000000 has 560 divisors, whose sum is σ = 368275286016. Its totient is φ = 24448000000.

The previous prime is 101111999993. The next prime is 101112000001. The reversal of 101112000000 is 211101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 263999809 + ... + 264000191.

Almost surely, 2^101112000000 is an apocalyptic number.

101112000000 is a gapful number since it is divisible by the number (10) 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 101112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184137643008).

101112000000 is an abundant number, since it is smaller than the sum of its proper divisors (267163286016).

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

101112000000 is an frugal number, since it uses more digits than its factorization.

101112000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101112000000 its reverse (211101), we get a palindrome (101112211101).

The spelling of 101112000000 in words is "one hundred one billion, one hundred twelve million", and thus it is an aban number.