11100012010112 has 128 divisors (see below), whose sum is σ = 23002677043200. Its totient is φ = 5329630080000.

The previous prime is 11100012010069. The next prime is 11100012010121. The reversal of 11100012010112 is 21101021000111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 11100012010093 and 11100012010102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581782589 + ... + 581801667.

It is an arithmetic number, because the mean of its divisors is an integer number (179708414400).

Almost surely, 2^{11100012010112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100012010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11501338521600).

11100012010112 is an abundant number, since it is smaller than the sum of its proper divisors (11902665033088).

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

11100012010112 is a wasteful number, since it uses less digits than its factorization.

11100012010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20246 (or 20234 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11100012010112 its reverse (21101021000111), we get a palindrome (32201033010223).

The spelling of 11100012010112 in words is "eleven trillion, one hundred billion, twelve million, ten thousand, one hundred twelve".