11001000001096 has 192 divisors, whose sum is σ = 25253317004400. Its totient is φ = 4473477808128.

The previous prime is 11001000001081. The next prime is 11001000001127. The reversal of 11001000001096 is 69010000010011.

It can be written as a sum of positive squares in 8 ways, for example, as 4307758364196 + 6693241636900 = 2075514^2 + 2587130^2 .

It is a super-2 number, since 2×11001000001096² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229848400 + ... + 229896256.

Almost surely, 2^{11001000001096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001000001096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12626658502200).

11001000001096 is an abundant number, since it is smaller than the sum of its proper divisors (14252317003304).

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

11001000001096 is a wasteful number, since it uses less digits than its factorization.

11001000001096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48256 (or 48245 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 19.

The spelling of 11001000001096 in words is "eleven trillion, one billion, one thousand, ninety-six".