11021020010000 has 1200 divisors, whose sum is σ = 36491711714304. Its totient is φ = 3136320000000.

The previous prime is 11021020009997. The next prime is 11021020010023. The reversal of 11021020010000 is 1002012011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 11021020010000.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 11121109505 + ... + 11121110495.

Almost surely, 2^{11021020010000} is an apocalyptic number.

11021020010000 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 11021020010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18245855857152).

11021020010000 is an abundant number, since it is smaller than the sum of its proper divisors (25470691704304).

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

11021020010000 is a wasteful number, since it uses less digits than its factorization.

11021020010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11021020010000 its reverse (1002012011), we get a palindrome (11022022022011).

The spelling of 11021020010000 in words is "eleven trillion, twenty-one billion, twenty million, ten thousand".