11101202012120 has 256 divisors, whose sum is σ = 27908350433280. Its totient is φ = 3940379136000.

The previous prime is 11101202012083. The next prime is 11101202012137. The reversal of 11101202012120 is 2121020210111.

It is a super-2 number, since 2×11101202012120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11101202012095 and 11101202012104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1343479109 + ... + 1343487371.

It is an arithmetic number, because the mean of its divisors is an integer number (109016993880).

Almost surely, 2^{11101202012120} is an apocalyptic number.

11101202012120 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 11101202012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13954175216640).

11101202012120 is an abundant number, since it is smaller than the sum of its proper divisors (16807148421160).

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

11101202012120 is a wasteful number, since it uses less digits than its factorization.

11101202012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8786 (or 8782 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11101202012120 its reverse (2121020210111), we get a palindrome (13222222222231).

The spelling of 11101202012120 in words is "eleven trillion, one hundred one billion, two hundred two million, twelve thousand, one hundred twenty".