11202012010000 has 600 divisors, whose sum is σ = 32093907912000. Its totient is φ = 3774960000000.

The previous prime is 11202012009917. The next prime is 11202012010081. The reversal of 11202012010000 is 1021020211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7472989251 + ... + 7472990749.

It is an arithmetic number, because the mean of its divisors is an integer number (53489846520).

Almost surely, 2^{11202012010000} is an apocalyptic number.

11202012010000 is a gapful number since it is divisible by the number (10) 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 11202012010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16046953956000).

11202012010000 is an abundant number, since it is smaller than the sum of its proper divisors (20891895902000).

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

11202012010000 is a wasteful number, since it uses less digits than its factorization.

11202012010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11202012010000 its reverse (1021020211), we get a palindrome (11203033030211).

The spelling of 11202012010000 in words is "eleven trillion, two hundred two billion, twelve million, ten thousand".