11000001011112 has 256 divisors, whose sum is σ = 31356509184000. Its totient is φ = 3571911592704.

The previous prime is 11000001011093. The next prime is 11000001011137. The reversal of 11000001011112 is 21111010000011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11000001011094 and 11000001011103.

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 63 ways as a sum of consecutive naturals, for example, 1165620058 + ... + 1165629494.

It is an arithmetic number, because the mean of its divisors is an integer number (122486364000).

Almost surely, 2^{11000001011112} is an apocalyptic number.

11000001011112 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 11000001011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15678254592000).

11000001011112 is an abundant number, since it is smaller than the sum of its proper divisors (20356508172888).

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

11000001011112 is a wasteful number, since it uses less digits than its factorization.

11000001011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10437 (or 10427 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11000001011112 its reverse (21111010000011), we get a palindrome (32111011011123).

It can be divided in two parts, 1100000 and 1011112, that added together give a palindrome (2111112).

The spelling of 11000001011112 in words is "eleven trillion, one million, eleven thousand, one hundred twelve".