20111200000100 has 288 divisors, whose sum is σ = 49911472128000. Its totient is φ = 6967321920000.

The previous prime is 20111200000063. The next prime is 20111200000147. The reversal of 20111200000100 is 100000211102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 940160405 + ... + 940181795.

Almost surely, 2^{20111200000100} is an apocalyptic number.

20111200000100 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 20111200000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24955736064000).

20111200000100 is an abundant number, since it is smaller than the sum of its proper divisors (29800272127900).

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

20111200000100 is a wasteful number, since it uses less digits than its factorization.

20111200000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21875 (or 21868 counting only the distinct ones).

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

Adding to 20111200000100 its reverse (100000211102), we get a palindrome (20211200211202).

The spelling of 20111200000100 in words is "twenty trillion, one hundred eleven billion, two hundred million, one hundred", and thus it is an aban number.