11211000100200 has 144 divisors (see below), whose sum is σ = 37653038717580. Its totient is φ = 2989380602880.

The previous prime is 11211000100189. The next prime is 11211000100211. The reversal of 11211000100200 is 200100011211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11211000100189) and next prime (11211000100211).

It can be written as a sum of positive squares in 6 ways, for example, as 235653935364 + 10975346164836 = 485442^2 + 3312906^2 .

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 35 ways as a sum of consecutive naturals, for example, 25081062 + ... + 25524138.

Almost surely, 2^{11211000100200} is an apocalyptic number.

11211000100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211000100200 is an abundant number, since it is smaller than the sum of its proper divisors (26442038617380).

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

11211000100200 is a wasteful number, since it uses less digits than its factorization.

11211000100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457156 (or 457144 counting only the distinct ones).

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

Adding to 11211000100200 its reverse (200100011211), we get a palindrome (11411100111411).

The spelling of 11211000100200 in words is "eleven trillion, two hundred eleven billion, one hundred thousand, two hundred".