11112022100100 has 144 divisors (see below), whose sum is σ = 32515363258560. Its totient is φ = 2929610956800.

The previous prime is 11112022100089. The next prime is 11112022100129. The reversal of 11112022100100 is 100122021111.

It is a super-2 number, since 2×11112022100100² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402435295 + ... + 402462905.

It is an arithmetic number, because the mean of its divisors is an integer number (225801133740).

Almost surely, 2^{11112022100100} is an apocalyptic number.

11112022100100 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 11112022100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16257681629280).

11112022100100 is an abundant number, since it is smaller than the sum of its proper divisors (21403341158460).

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

11112022100100 is a wasteful number, since it uses less digits than its factorization.

11112022100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42790 (or 42783 counting only the distinct ones).

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

Adding to 11112022100100 its reverse (100122021111), we get a palindrome (11212144121211).

The spelling of 11112022100100 in words is "eleven trillion, one hundred twelve billion, twenty-two million, one hundred thousand, one hundred".