112101120200000 has 84 divisors (see below), whose sum is σ = 278045529939324. Its totient is φ = 44840448000000.

The previous prime is 112101120199997. The next prime is 112101120200023. The reversal of 112101120200000 is 2021101211.

It can be written as a sum of positive squares in 6 ways, for example, as 103565467130944 + 8535653069056 = 10176712^2 + 2921584^2 .

It is a super-2 number, since 2×112101120200000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280052801 + ... + 280452800.

It is an arithmetic number, because the mean of its divisors is an integer number (3310065832611).

Almost surely, 2^{112101120200000} is an apocalyptic number.

112101120200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112101120200000 is an abundant number, since it is smaller than the sum of its proper divisors (165944409739324).

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

112101120200000 is an frugal number, since it uses more digits than its factorization.

112101120200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560505638 (or 560505608 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 112101120200000 its reverse (2021101211), we get a palindrome (112103141301211).

The spelling of 112101120200000 in words is "one hundred twelve trillion, one hundred one billion, one hundred twenty million, two hundred thousand".