11101002112120 has 256 divisors, whose sum is σ = 26557878240000. Its totient is φ = 4169475588096.

The previous prime is 11101002112099. The next prime is 11101002112127. The reversal of 11101002112120 is 2121120010111.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11101002112120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101002112127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5926855504 + ... + 5926857376.

It is an arithmetic number, because the mean of its divisors is an integer number (103741711875).

Almost surely, 2^{11101002112120} is an apocalyptic number.

11101002112120 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 11101002112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13278939120000).

11101002112120 is an abundant number, since it is smaller than the sum of its proper divisors (15456876127880).

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

11101002112120 is a wasteful number, since it uses less digits than its factorization.

11101002112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11101002112120 its reverse (2121120010111), we get a palindrome (13222122122231).

The spelling of 11101002112120 in words is "eleven trillion, one hundred one billion, two million, one hundred twelve thousand, one hundred twenty".