101200112000 has 128 divisors (see below), whose sum is σ = 270963856800. Its totient is φ = 37366118400.

The previous prime is 101200111949. The next prime is 101200112003. The reversal of 101200112000 is 211002101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200112003) 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, 35270 + ... + 451269.

Almost surely, 2^101200112000 is an apocalyptic number.

101200112000 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 101200112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135481928400).

101200112000 is an abundant number, since it is smaller than the sum of its proper divisors (169763744800).

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

101200112000 is an equidigital number, since it uses as much as digits as its factorization.

101200112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486581 (or 486559 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101200112000 its reverse (211002101), we get a palindrome (101411114101).

The spelling of 101200112000 in words is "one hundred one billion, two hundred million, one hundred twelve thousand".