100011220000112 has 80 divisors (see below), whose sum is σ = 200797538135040. Its totient is φ = 48222113861376.

The previous prime is 100011220000037. The next prime is 100011220000171. The reversal of 100011220000112 is 211000022110001.

It is a junction number, because it is equal to n+sod(n) for n = 100011220000093 and 100011220000102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1835276738 + ... + 1835331230.

It is an arithmetic number, because the mean of its divisors is an integer number (2509969226688).

Almost surely, 2^{100011220000112} is an apocalyptic number.

It is an amenable number.

100011220000112 is an abundant number, since it is smaller than the sum of its proper divisors (100786318134928).

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

100011220000112 is a wasteful number, since it uses less digits than its factorization.

100011220000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88390 (or 88384 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100011220000112 its reverse (211000022110001), we get a palindrome (311011242110113).

The spelling of 100011220000112 in words is "one hundred trillion, eleven billion, two hundred twenty million, one hundred twelve", and thus it is an aban number.