11201001001120 has 192 divisors, whose sum is σ = 31881074964480. Its totient is φ = 3632888337408.

The previous prime is 11201001001117. The next prime is 11201001001123. The reversal of 11201001001120 is 2110010010211.

It is an interprime number because it is at equal distance from previous prime (11201001001117) and next prime (11201001001123).

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

It is a junction number, because it is equal to n+sod(n) for n = 11201001001097 and 11201001001106.

It is not an unprimeable number, because it can be changed into a prime (11201001001123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14148909 + ... + 14919571.

It is an arithmetic number, because the mean of its divisors is an integer number (166047265440).

Almost surely, 2^{11201001001120} is an apocalyptic number.

11201001001120 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 11201001001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15940537482240).

11201001001120 is an abundant number, since it is smaller than the sum of its proper divisors (20680073963360).

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

11201001001120 is a wasteful number, since it uses less digits than its factorization.

11201001001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771387 (or 771379 counting only the distinct ones).

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

Adding to 11201001001120 its reverse (2110010010211), we get a palindrome (13311011011331).

Subtracting from 11201001001120 its reverse (2110010010211), we obtain a palindrome (9090990990909).

The spelling of 11201001001120 in words is "eleven trillion, two hundred one billion, one million, one thousand, one hundred twenty".