112201112100000 has 1152 divisors, whose sum is σ = 463529120237568. Its totient is φ = 23083200000000.

The previous prime is 112201112099981. The next prime is 112201112100019. The reversal of 112201112100000 is 1211102211.

It is an interprime number because it is at equal distance from previous prime (112201112099981) and next prime (112201112100019).

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

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 191 ways as a sum of consecutive naturals, for example, 2333075955 + ... + 2333124045.

It is an arithmetic number, because the mean of its divisors is an integer number (402369027984).

Almost surely, 2^{112201112100000} is an apocalyptic number.

112201112100000 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 112201112100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231764560118784).

112201112100000 is an abundant number, since it is smaller than the sum of its proper divisors (351328008137568).

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

112201112100000 is a wasteful number, since it uses less digits than its factorization.

112201112100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48248 (or 48220 counting only the distinct ones).

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

Adding to 112201112100000 its reverse (1211102211), we get a palindrome (112202323202211).

The spelling of 112201112100000 in words is "one hundred twelve trillion, two hundred one billion, one hundred twelve million, one hundred thousand".