11000101200192 has 336 divisors, whose sum is σ = 34533958018560. Its totient is φ = 3327024844800.

The previous prime is 11000101200161. The next prime is 11000101200199. The reversal of 11000101200192 is 29100210100011.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000101200199) 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, 803448067 + ... + 803461757.

It is an arithmetic number, because the mean of its divisors is an integer number (102779636960).

Almost surely, 2^{11000101200192} is an apocalyptic number.

11000101200192 is a gapful number since it is divisible by the number (12) 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 11000101200192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17266979009280).

11000101200192 is an abundant number, since it is smaller than the sum of its proper divisors (23533856818368).

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

11000101200192 is a wasteful number, since it uses less digits than its factorization.

11000101200192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15542 (or 15529 counting only the distinct ones).

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

The spelling of 11000101200192 in words is "eleven trillion, one hundred one million, two hundred thousand, one hundred ninety-two".