11101200112020 has 192 divisors, whose sum is σ = 33350284025856. Its totient is φ = 2753813583360.

The previous prime is 11101200112007. The next prime is 11101200112031. The reversal of 11101200112020 is 2021100210111.

It is a super-2 number, since 2×11101200112020² (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 a junction number, because it is equal to n+sod(n) for n = 11101200111987 and 11101200112005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4740327 + ... + 6683793.

It is an arithmetic number, because the mean of its divisors is an integer number (173699395968).

Almost surely, 2^{11101200112020} is an apocalyptic number.

11101200112020 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 11101200112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16675142012928).

11101200112020 is an abundant number, since it is smaller than the sum of its proper divisors (22249083913836).

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

11101200112020 is a wasteful number, since it uses less digits than its factorization.

11101200112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943630 (or 1943628 counting only the distinct ones).

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

Adding to 11101200112020 its reverse (2021100210111), we get a palindrome (13122300322131).

The spelling of 11101200112020 in words is "eleven trillion, one hundred one billion, two hundred million, one hundred twelve thousand, twenty".