11211101012120 has 128 divisors (see below), whose sum is σ = 26587673850240. Its totient is φ = 4246140518400.

The previous prime is 11211101012119. The next prime is 11211101012129. The reversal of 11211101012120 is 2121010111211.

It is a junction number, because it is equal to n+sod(n) for n = 11211101012095 and 11211101012104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211101012129) 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, 648294194 + ... + 648311486.

It is an arithmetic number, because the mean of its divisors is an integer number (207716201955).

Almost surely, 2^{11211101012120} is an apocalyptic number.

11211101012120 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 11211101012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13293836925120).

11211101012120 is an abundant number, since it is smaller than the sum of its proper divisors (15376572838120).

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

11211101012120 is a wasteful number, since it uses less digits than its factorization.

11211101012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24405 (or 24401 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11211101012120 its reverse (2121010111211), we get a palindrome (13332111123331).

Subtracting from 11211101012120 its reverse (2121010111211), we obtain a palindrome (9090090900909).

The spelling of 11211101012120 in words is "eleven trillion, two hundred eleven billion, one hundred one million, twelve thousand, one hundred twenty".