11200100010 has 192 divisors, whose sum is σ = 31057496064. Its totient is φ = 2578055040.

The previous prime is 11200100003. The next prime is 11200100027. The reversal of 11200100010 is 1000100211.

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

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, 13608459 + ... + 13609281.

It is an arithmetic number, because the mean of its divisors is an integer number (161757792).

Almost surely, 2^11200100010 is an apocalyptic number.

11200100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15528748032).

11200100010 is an abundant number, since it is smaller than the sum of its proper divisors (19857396054).

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

11200100010 is a wasteful number, since it uses less digits than its factorization.

11200100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1030 counting only the distinct ones).

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

Adding to 11200100010 its reverse (1000100211), we get a palindrome (12200200221).

The spelling of 11200100010 in words is "eleven billion, two hundred million, one hundred thousand, ten".