11101101000120 has 192 divisors, whose sum is σ = 37087686548640. Its totient is φ = 2877641856000.

The previous prime is 11101101000089. The next prime is 11101101000127. The reversal of 11101101000120 is 2100010110111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101101000127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14150170 + ... + 14914070.

Almost surely, 2^{11101101000120} is an apocalyptic number.

11101101000120 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 11101101000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18543843274320).

11101101000120 is an abundant number, since it is smaller than the sum of its proper divisors (25986585548520).

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

11101101000120 is a wasteful number, since it uses less digits than its factorization.

11101101000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765046 (or 765039 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11101101000120 its reverse (2100010110111), we get a palindrome (13201111110231).

The spelling of 11101101000120 in words is "eleven trillion, one hundred one billion, one hundred one million, one hundred twenty", and thus it is an aban number.