11112201100 has 288 divisors, whose sum is σ = 33429860352. Its totient is φ = 3093120000.

The previous prime is 11112201097. The next prime is 11112201101. The reversal of 11112201100 is 110221111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11112201101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3101310 + ... + 3104890.

It is an arithmetic number, because the mean of its divisors is an integer number (116075904).

Almost surely, 2^11112201100 is an apocalyptic number.

11112201100 is a gapful number since it is divisible by the number (10) 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 11112201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16714930176).

11112201100 is an abundant number, since it is smaller than the sum of its proper divisors (22317659252).

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

11112201100 is a wasteful number, since it uses less digits than its factorization.

11112201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3650 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11112201100 its reverse (110221111), we get a palindrome (11222422211).

It can be divided in two parts, 11112 and 201100, that added together give a palindrome (212212).

The spelling of 11112201100 in words is "eleven billion, one hundred twelve million, two hundred one thousand, one hundred".