20112041311100 has 144 divisors (see below), whose sum is σ = 45309146904000. Its totient is φ = 7739746560000.

The previous prime is 20112041311097. The next prime is 20112041311111. The reversal of 20112041311100 is 111314021102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 939760400 + ... + 939781800.

It is an arithmetic number, because the mean of its divisors is an integer number (314646853500).

Almost surely, 2^{20112041311100} is an apocalyptic number.

20112041311100 is a gapful number since it is divisible by the number (20) 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 20112041311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22654573452000).

20112041311100 is an abundant number, since it is smaller than the sum of its proper divisors (25197105592900).

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

20112041311100 is a wasteful number, since it uses less digits than its factorization.

20112041311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22584 (or 22577 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 20112041311100 its reverse (111314021102), we get a palindrome (20223355332202).

The spelling of 20112041311100 in words is "twenty trillion, one hundred twelve billion, forty-one million, three hundred eleven thousand, one hundred".