11211112200100 has 36 divisors (see below), whose sum is σ = 24335592850324. Its totient is φ = 4483066193280.

The previous prime is 11211112200089. The next prime is 11211112200107. The reversal of 11211112200100 is 100221111211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 614941409124 + 10596170790976 = 784182^2 + 3255176^2 .

It is not an unprimeable number, because it can be changed into a prime (11211112200107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16906659 + ... + 17557258.

Almost surely, 2^{11211112200100} is an apocalyptic number.

11211112200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211112200100 is an abundant number, since it is smaller than the sum of its proper divisors (13124480650224).

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

11211112200100 is a wasteful number, since it uses less digits than its factorization.

11211112200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34467184 (or 34467177 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11211112200100 its reverse (100221111211), we get a palindrome (11311333311311).

The spelling of 11211112200100 in words is "eleven trillion, two hundred eleven billion, one hundred twelve million, two hundred thousand, one hundred".