11101111022112 has 192 divisors, whose sum is σ = 30581820638208. Its totient is φ = 3521346048000.

The previous prime is 11101111022107. The next prime is 11101111022207. The reversal of 11101111022112 is 21122011110111.

It is a junction number, because it is equal to n+sod(n) for n = 11101111022091 and 11101111022100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1013146938 + ... + 1013157894.

It is an arithmetic number, because the mean of its divisors is an integer number (159280315824).

Almost surely, 2^{11101111022112} is an apocalyptic number.

11101111022112 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 11101111022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15290910319104).

11101111022112 is an abundant number, since it is smaller than the sum of its proper divisors (19480709616096).

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

11101111022112 is a wasteful number, since it uses less digits than its factorization.

11101111022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16643 (or 16635 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11101111022112 its reverse (21122011110111), we get a palindrome (32223122132223).

The spelling of 11101111022112 in words is "eleven trillion, one hundred one billion, one hundred eleven million, twenty-two thousand, one hundred twelve".