11001012100200 has 240 divisors, whose sum is σ = 38248974682380. Its totient is φ = 2930468336640.

The previous prime is 11001012100087. The next prime is 11001012100223. The reversal of 11001012100200 is 200121010011.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2713142654244 + 8287869445956 = 1647162^2 + 2878866^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14817034 + ... + 15541766.

Almost surely, 2^{11001012100200} is an apocalyptic number.

11001012100200 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 11001012100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19124487341190).

11001012100200 is an abundant number, since it is smaller than the sum of its proper divisors (27247962582180).

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

11001012100200 is a wasteful number, since it uses less digits than its factorization.

11001012100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725698 (or 725680 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11001012100200 its reverse (200121010011), we get a palindrome (11201133110211).

The spelling of 11001012100200 in words is "eleven trillion, one billion, twelve million, one hundred thousand, two hundred".