11100220022112 has 192 divisors, whose sum is σ = 31846296835584. Its totient is φ = 3364716257280.

The previous prime is 11100220022083. The next prime is 11100220022137. The reversal of 11100220022112 is 21122002200111.

It is a super-2 number, since 2×11100220022112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11100220022091 and 11100220022100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114876283 + ... + 114972869.

It is an arithmetic number, because the mean of its divisors is an integer number (165866129352).

Almost surely, 2^{11100220022112} is an apocalyptic number.

11100220022112 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 11100220022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15923148417792).

11100220022112 is an abundant number, since it is smaller than the sum of its proper divisors (20746076813472).

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

11100220022112 is a wasteful number, since it uses less digits than its factorization.

11100220022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97981 (or 97973 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11100220022112 its reverse (21122002200111), we get a palindrome (32222222222223).

The spelling of 11100220022112 in words is "eleven trillion, one hundred billion, two hundred twenty million, twenty-two thousand, one hundred twelve".