11101221002112 has 128 divisors (see below), whose sum is σ = 29757101310720. Its totient is φ = 3666608332800.

The previous prime is 11101221002093. The next prime is 11101221002117. The reversal of 11101221002112 is 21120012210111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 11101221002091 and 11101221002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101221002117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159257187 + ... + 159326877.

It is an arithmetic number, because the mean of its divisors is an integer number (232477353990).

Almost surely, 2^{11101221002112} is an apocalyptic number.

11101221002112 is a gapful number since it is divisible by the number (12) 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 11101221002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14878550655360).

11101221002112 is an abundant number, since it is smaller than the sum of its proper divisors (18655880308608).

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

11101221002112 is a wasteful number, since it uses less digits than its factorization.

11101221002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73492 (or 73480 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11101221002112 its reverse (21120012210111), we get a palindrome (32221233212223).

The spelling of 11101221002112 in words is "eleven trillion, one hundred one billion, two hundred twenty-one million, two thousand, one hundred twelve".