11201021010000 has 500 divisors, whose sum is σ = 40599643605312. Its totient is φ = 2980387872000.

The previous prime is 11201021009987. The next prime is 11201021010007. The reversal of 11201021010000 is 1012010211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (500).

It is a super-2 number, since 2×11201021010000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201021010007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 375015067 + ... + 375044933.

Almost surely, 2^{11201021010000} is an apocalyptic number.

11201021010000 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 11201021010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20299821802656).

11201021010000 is an abundant number, since it is smaller than the sum of its proper divisors (29398622595312).

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

11201021010000 is an equidigital number, since it uses as much as digits as its factorization.

11201021010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30370 (or 30340 counting only the distinct ones).

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

Adding to 11201021010000 its reverse (1012010211), we get a palindrome (11202033020211).

The spelling of 11201021010000 in words is "eleven trillion, two hundred one billion, twenty-one million, ten thousand".