11000101010094 has 160 divisors (see below), whose sum is σ = 28433737728000. Its totient is φ = 3113442033408.

The previous prime is 11000101010071. The next prime is 11000101010167. The reversal of 11000101010094 is 49001010100011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 256134387 + ... + 256177329.

It is an arithmetic number, because the mean of its divisors is an integer number (177710860800).

Almost surely, 2^{11000101010094} is an apocalyptic number.

11000101010094 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000101010094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14216868864000).

11000101010094 is an abundant number, since it is smaller than the sum of its proper divisors (17433636717906).

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

11000101010094 is a wasteful number, since it uses less digits than its factorization.

11000101010094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45076 (or 45067 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 11000101010094 in words is "eleven trillion, one hundred one million, ten thousand, ninety-four".