11210222200100 has 432 divisors, whose sum is σ = 32705183609280. Its totient is φ = 3286654156800.

The previous prime is 11210222200069. The next prime is 11210222200127. The reversal of 11210222200100 is 100222201211.

It is a super-2 number, since 2×11210222200100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2714994836 + ... + 2714998964.

It is an arithmetic number, because the mean of its divisors is an integer number (75706443540).

Almost surely, 2^{11210222200100} is an apocalyptic number.

11210222200100 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 11210222200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16352591804640).

11210222200100 is an abundant number, since it is smaller than the sum of its proper divisors (21494961409180).

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

11210222200100 is a wasteful number, since it uses less digits than its factorization.

11210222200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7148 (or 7134 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11210222200100 its reverse (100222201211), we get a palindrome (11310444401311).

The spelling of 11210222200100 in words is "eleven trillion, two hundred ten billion, two hundred twenty-two million, two hundred thousand, one hundred".