112021010000 has 200 divisors, whose sum is σ = 276949629000. Its totient is φ = 43868160000.

The previous prime is 112021009987. The next prime is 112021010053. The reversal of 112021010000 is 10120211.

It can be written as a sum of positive squares in 20 ways, for example, as 110750515264 + 1270494736 = 332792^2 + 35644^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a self number, because there is not a number n which added to its sum of digits gives 112021010000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 249489776 + ... + 249490224.

It is an arithmetic number, because the mean of its divisors is an integer number (1384748145).

Almost surely, 2^112021010000 is an apocalyptic number.

112021010000 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 112021010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138474814500).

112021010000 is an abundant number, since it is smaller than the sum of its proper divisors (164928619000).

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

112021010000 is an equidigital number, since it uses as much as digits as its factorization.

112021010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 926 counting only the distinct ones).

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

Adding to 112021010000 its reverse (10120211), we get a palindrome (112031130211).

The spelling of 112021010000 in words is "one hundred twelve billion, twenty-one million, ten thousand".