11011201002000 has 240 divisors, whose sum is σ = 40720717872432. Its totient is φ = 2763595468800.

The previous prime is 11011201001993. The next prime is 11011201002007. The reversal of 11011201002000 is 20010211011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11011201001993) and next prime (11011201002007).

It can be written as a sum of positive squares in 8 ways, for example, as 997090119936 + 10014110882064 = 998544^2 + 3164508^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 (11011201002007) 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, 17686159 + ... + 18298158.

Almost surely, 2^{11011201002000} is an apocalyptic number.

11011201002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011201002000 is an abundant number, since it is smaller than the sum of its proper divisors (29709516870432).

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

11011201002000 is a wasteful number, since it uses less digits than its factorization.

11011201002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35984363 (or 35984344 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11011201002000 its reverse (20010211011), we get a palindrome (11031211213011).

The spelling of 11011201002000 in words is "eleven trillion, eleven billion, two hundred one million, two thousand".