11220211102122 has 96 divisors (see below), whose sum is σ = 27243208160064. Its totient is φ = 3307449024000.

The previous prime is 11220211102117. The next prime is 11220211102147. The reversal of 11220211102122 is 22120111202211.

11220211102122 is a `hidden beast` number, since 11 + 220 + 211 + 10 + 212 + 2 = 666.

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 = 11220211102095 and 11220211102104.

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, 33908578 + ... + 34237874.

It is an arithmetic number, because the mean of its divisors is an integer number (283783418334).

Almost surely, 2^{11220211102122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11220211102122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13621604080032).

11220211102122 is an abundant number, since it is smaller than the sum of its proper divisors (16022997057942).

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

11220211102122 is a wasteful number, since it uses less digits than its factorization.

11220211102122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334004 (or 334001 counting only the distinct ones).

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

Adding to 11220211102122 its reverse (22120111202211), we get a palindrome (33340322304333).

The spelling of 11220211102122 in words is "eleven trillion, two hundred twenty billion, two hundred eleven million, one hundred two thousand, one hundred twenty-two".