11101102222122 has 96 divisors (see below), whose sum is σ = 27816701500224. Its totient is φ = 3162185049600.

The previous prime is 11101102222013. The next prime is 11101102222187. The reversal of 11101102222122 is 22122220110111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11101102222095 and 11101102222104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 696528 + ... + 4763124.

It is an arithmetic number, because the mean of its divisors is an integer number (289757307294).

Almost surely, 2^{11101102222122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101102222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13908350750112).

11101102222122 is an abundant number, since it is smaller than the sum of its proper divisors (16715599278102).

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

11101102222122 is a wasteful number, since it uses less digits than its factorization.

11101102222122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4067444 (or 4067441 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11101102222122 its reverse (22122220110111), we get a palindrome (33223322332233).

The spelling of 11101102222122 in words is "eleven trillion, one hundred one billion, one hundred two million, two hundred twenty-two thousand, one hundred twenty-two".