11010001100112 has 480 divisors, whose sum is σ = 38007357373440. Its totient is φ = 2903906488320.

The previous prime is 11010001100099. The next prime is 11010001100177. The reversal of 11010001100112 is 21100110001011.

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 = 11010001100094 and 11010001100103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197670187 + ... + 197725877.

It is an arithmetic number, because the mean of its divisors is an integer number (79181994528).

Almost surely, 2^{11010001100112} is an apocalyptic number.

11010001100112 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 11010001100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19003678686720).

11010001100112 is an abundant number, since it is smaller than the sum of its proper divisors (26997356273328).

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

11010001100112 is a wasteful number, since it uses less digits than its factorization.

11010001100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55951 (or 55942 counting only the distinct ones).

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

Adding to 11010001100112 its reverse (21100110001011), we get a palindrome (32110111101123).

The spelling of 11010001100112 in words is "eleven trillion, ten billion, one million, one hundred thousand, one hundred twelve".