11220100110100 has 432 divisors, whose sum is σ = 29357004156480. Its totient is φ = 3708972288000.

The previous prime is 11220100110001. The next prime is 11220100110181. The reversal of 11220100110100 is 101100102211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 9938086336 + ... + 9938087464.

It is an arithmetic number, because the mean of its divisors is an integer number (67956028140).

Almost surely, 2^{11220100110100} is an apocalyptic number.

11220100110100 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 11220100110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14678502078240).

11220100110100 is an abundant number, since it is smaller than the sum of its proper divisors (18136904046380).

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

11220100110100 is a wasteful number, since it uses less digits than its factorization.

11220100110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11220100110100 its reverse (101100102211), we get a palindrome (11321200212311).

The spelling of 11220100110100 in words is "eleven trillion, two hundred twenty billion, one hundred million, one hundred ten thousand, one hundred".