11122110200100 has 288 divisors, whose sum is σ = 33826247481600. Its totient is φ = 2816088872960.

The previous prime is 11122110200099. The next prime is 11122110200101. The reversal of 11122110200100 is 100201122111.

It is an interprime number because it is at equal distance from previous prime (11122110200099) and next prime (11122110200101).

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 (11122110200101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2398554982 + ... + 2398559618.

It is an arithmetic number, because the mean of its divisors is an integer number (117452248200).

Almost surely, 2^{11122110200100} is an apocalyptic number.

11122110200100 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 11122110200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16913123740800).

11122110200100 is an abundant number, since it is smaller than the sum of its proper divisors (22704137281500).

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

11122110200100 is a wasteful number, since it uses less digits than its factorization.

11122110200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7159 (or 7152 counting only the distinct ones).

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

Adding to 11122110200100 its reverse (100201122111), we get a palindrome (11222311322211).

The spelling of 11122110200100 in words is "eleven trillion, one hundred twenty-two billion, one hundred ten million, two hundred thousand, one hundred".