11021011010200 has 96 divisors (see below), whose sum is σ = 26482345200000. Its totient is φ = 4261049625600.

The previous prime is 11021011010183. The next prime is 11021011010221. The reversal of 11021011010200 is 201011012011.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4067676 + ... + 6211924.

It is an arithmetic number, because the mean of its divisors is an integer number (275857762500).

Almost surely, 2^{11021011010200} is an apocalyptic number.

11021011010200 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 11021011010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13241172600000).

11021011010200 is an abundant number, since it is smaller than the sum of its proper divisors (15461334189800).

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

11021011010200 is a wasteful number, since it uses less digits than its factorization.

11021011010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145125 (or 2145116 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11021011010200 its reverse (201011012011), we get a palindrome (11222022022211).

The spelling of 11021011010200 in words is "eleven trillion, twenty-one billion, eleven million, ten thousand, two hundred".