11100001220100 has 720 divisors, whose sum is σ = 41120276883840. Its totient is φ = 2569182105600.

The previous prime is 11100001220081. The next prime is 11100001220101. The reversal of 11100001220100 is 102210000111.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (11100001220101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 142853260 + ... + 142930940.

It is an arithmetic number, because the mean of its divisors is an integer number (57111495672).

Almost surely, 2^{11100001220100} is an apocalyptic number.

11100001220100 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 11100001220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20560138441920).

11100001220100 is an abundant number, since it is smaller than the sum of its proper divisors (30020275663740).

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

11100001220100 is a wasteful number, since it uses less digits than its factorization.

11100001220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77802 (or 77786 counting only the distinct ones).

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

Adding to 11100001220100 its reverse (102210000111), we get a palindrome (11202211220211).

The spelling of 11100001220100 in words is "eleven trillion, one hundred billion, one million, two hundred twenty thousand, one hundred".