11100110011002 has 96 divisors (see below), whose sum is σ = 25520057282304. Its totient is φ = 3474859046400.

The previous prime is 11100110010991. The next prime is 11100110011007. The reversal of 11100110011002 is 20011001100111.

It is a super-2 number, since 2×11100110011002² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11100110011007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353524768 + ... + 353556164.

It is an arithmetic number, because the mean of its divisors is an integer number (265833930024).

Almost surely, 2^{11100110011002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100110011002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12760028641152).

11100110011002 is an abundant number, since it is smaller than the sum of its proper divisors (14419947271302).

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

11100110011002 is a wasteful number, since it uses less digits than its factorization.

11100110011002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33884 (or 33881 counting only the distinct ones).

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

Adding to 11100110011002 its reverse (20011001100111), we get a palindrome (31111111111113).

The spelling of 11100110011002 in words is "eleven trillion, one hundred billion, one hundred ten million, eleven thousand, two".