112002000101200 has 240 divisors, whose sum is σ = 303042533893632. Its totient is φ = 39410784000000.

The previous prime is 112002000101183. The next prime is 112002000101219. The reversal of 112002000101200 is 2101000200211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1982272950 + ... + 1982329450.

Almost surely, 2^{112002000101200} is an apocalyptic number.

112002000101200 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 112002000101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151521266946816).

112002000101200 is an abundant number, since it is smaller than the sum of its proper divisors (191040533792432).

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

112002000101200 is a wasteful number, since it uses less digits than its factorization.

112002000101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71094 (or 71083 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 112002000101200 its reverse (2101000200211), we get a palindrome (114103000301411).

The spelling of 112002000101200 in words is "one hundred twelve trillion, two billion, one hundred one thousand, two hundred".