11011101012000 has 192 divisors, whose sum is σ = 40080408076800. Its totient is φ = 2936293574400.

The previous prime is 11011101011923. The next prime is 11011101012007. The reversal of 11011101012000 is 21010111011.

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 (11011101012007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50869320 + ... + 51085319.

It is an arithmetic number, because the mean of its divisors is an integer number (208752125400).

Almost surely, 2^{11011101012000} is an apocalyptic number.

11011101012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011101012000 is an abundant number, since it is smaller than the sum of its proper divisors (29069307064800).

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

11011101012000 is a wasteful number, since it uses less digits than its factorization.

11011101012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101954673 (or 101954649 counting only the distinct ones).

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

Adding to 11011101012000 its reverse (21010111011), we get a palindrome (11032111123011).

The spelling of 11011101012000 in words is "eleven trillion, eleven billion, one hundred one million, twelve thousand".