11110002210096 has 160 divisors (see below), whose sum is σ = 30002244590592. Its totient is φ = 3535992007680.

The previous prime is 11110002210089. The next prime is 11110002210133. The reversal of 11110002210096 is 69001220001111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3144635146 + ... + 3144638678.

Almost surely, 2^{11110002210096} is an apocalyptic number.

11110002210096 is a gapful number since it is divisible by the number (16) 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 11110002210096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15001122295296).

11110002210096 is an abundant number, since it is smaller than the sum of its proper divisors (18892242380496).

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

11110002210096 is a wasteful number, since it uses less digits than its factorization.

11110002210096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7851 (or 7845 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

The spelling of 11110002210096 in words is "eleven trillion, one hundred ten billion, two million, two hundred ten thousand, ninety-six".