11201000100 has 72 divisors (see below), whose sum is σ = 32553749760. Its totient is φ = 2973521280.

The previous prime is 11201000087. The next prime is 11201000113. The reversal of 11201000100 is 100010211.

It is an interprime number because it is at equal distance from previous prime (11201000087) and next prime (11201000113).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16815 + ... + 150614.

Almost surely, 2^11201000100 is an apocalyptic number.

11201000100 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 11201000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16276874880).

11201000100 is an abundant number, since it is smaller than the sum of its proper divisors (21352749660).

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

11201000100 is a wasteful number, since it uses less digits than its factorization.

11201000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167669 (or 167662 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11201000100 its reverse (100010211), we get a palindrome (11301010311).

The spelling of 11201000100 in words is "eleven billion, two hundred one million, one hundred", and thus it is an aban number.