11100112010010 has 128 divisors (see below), whose sum is σ = 29663669905920. Its totient is φ = 2953698048000.

The previous prime is 11100112009999. The next prime is 11100112010017. The reversal of 11100112010010 is 1001021100111.

11100112010010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11100112010010³ (a number of 40 digits) contains 333 as substring.

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 = 11100112009974 and 11100112010001.

It is not an unprimeable number, because it can be changed into a prime (11100112010017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 323856234 + ... + 323890506.

It is an arithmetic number, because the mean of its divisors is an integer number (231747421140).

Almost surely, 2^{11100112010010} is an apocalyptic number.

11100112010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100112010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14831834952960).

11100112010010 is an abundant number, since it is smaller than the sum of its proper divisors (18563557895910).

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

11100112010010 is a wasteful number, since it uses less digits than its factorization.

11100112010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36821 (or 36815 counting only the distinct ones).

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

Adding to 11100112010010 its reverse (1001021100111), we get a palindrome (12101133110121).

The spelling of 11100112010010 in words is "eleven trillion, one hundred billion, one hundred twelve million, ten thousand, ten".