20001122110002 has 128 divisors (see below), whose sum is σ = 46555449228288. Its totient is φ = 5661413222400.

The previous prime is 20001122110001. The next prime is 20001122110007.

20001122110002 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 20001122110002.

It is not an unprimeable number, because it can be changed into a prime (20001122110001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80133177 + ... + 80382387.

It is an arithmetic number, because the mean of its divisors is an integer number (363714447096).

Almost surely, 2^{20001122110002} is an apocalyptic number.

20001122110002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20001122110002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23277724614144).

20001122110002 is an abundant number, since it is smaller than the sum of its proper divisors (26554327118286).

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

20001122110002 is a wasteful number, since it uses less digits than its factorization.

20001122110002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249784.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 2000112 and 2110002, that added together give a palindrome (4110114).

The spelling of 20001122110002 in words is "twenty trillion, one billion, one hundred twenty-two million, one hundred ten thousand, two".