20001002112 has 1280 divisors, whose sum is σ = 82108857600. Its totient is φ = 4682022912.

The previous prime is 20001002059. The next prime is 20001002143. The reversal of 20001002112 is 21120010002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20001002094 and 20001002103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 465139563 + ... + 465139605.

It is an arithmetic number, because the mean of its divisors is an integer number (64147545).

Almost surely, 2^20001002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20001002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41054428800).

20001002112 is an abundant number, since it is smaller than the sum of its proper divisors (62107855488).

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

20001002112 is a wasteful number, since it uses less digits than its factorization.

20001002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20001002112 its reverse (21120010002), we get a palindrome (41121012114).

The spelling of 20001002112 in words is "twenty billion, one million, two thousand, one hundred twelve".