20111101100 has 144 divisors (see below), whose sum is σ = 46483691520. Its totient is φ = 7536672000.

The previous prime is 20111101069. The next prime is 20111101103. The reversal of 20111101100 is 110111102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20111101103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27436334 + ... + 27437066.

Almost surely, 2^20111101100 is an apocalyptic number.

20111101100 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 20111101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23241845760).

20111101100 is an abundant number, since it is smaller than the sum of its proper divisors (26372590420).

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

20111101100 is a wasteful number, since it uses less digits than its factorization.

20111101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 20111101100 its reverse (110111102), we get a palindrome (20221212202).

The spelling of 20111101100 in words is "twenty billion, one hundred eleven million, one hundred one thousand, one hundred".