11221021100100 has 288 divisors, whose sum is σ = 39259422791680. Its totient is φ = 2417223720960.

The previous prime is 11221021100041. The next prime is 11221021100101. The reversal of 11221021100100 is 100112012211.

It is a super-2 number, since 2×11221021100100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11221021100101) 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 95 ways as a sum of consecutive naturals, for example, 6972129 + ... + 8429271.

Almost surely, 2^{11221021100100} is an apocalyptic number.

11221021100100 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 11221021100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19629711395840).

11221021100100 is an abundant number, since it is smaller than the sum of its proper divisors (28038401691580).

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

11221021100100 is a wasteful number, since it uses less digits than its factorization.

11221021100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457379 (or 1457372 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11221021100100 its reverse (100112012211), we get a palindrome (11321133112311).

The spelling of 11221021100100 in words is "eleven trillion, two hundred twenty-one billion, twenty-one million, one hundred thousand, one hundred".