112020101000 has 64 divisors (see below), whose sum is σ = 262750653360. Its totient is φ = 44701440000.

The previous prime is 112020100949. The next prime is 112020101033. The reversal of 112020101000 is 101020211.

It can be written as a sum of positive squares in 8 ways, for example, as 18485665444 + 93534435556 = 135962^2 + 305834^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287960 + ... + 554040.

Almost surely, 2^112020101000 is an apocalyptic number.

112020101000 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 112020101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131375326680).

112020101000 is an abundant number, since it is smaller than the sum of its proper divisors (150730552360).

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

112020101000 is a wasteful number, since it uses less digits than its factorization.

112020101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266523 (or 266509 counting only the distinct ones).

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

Adding to 112020101000 its reverse (101020211), we get a palindrome (112121121211).

The spelling of 112020101000 in words is "one hundred twelve billion, twenty million, one hundred one thousand".