11202021000 has 192 divisors, whose sum is σ = 37951383600. Its totient is φ = 2980224000.

The previous prime is 11202020927. The next prime is 11202021043. The reversal of 11202021000 is 12020211.

It can be written as a sum of positive squares in 8 ways, for example, as 62062884 + 11139958116 = 7878^2 + 105546^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4687806 + ... + 4690194.

Almost surely, 2^11202021000 is an apocalyptic number.

11202021000 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 11202021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18975691800).

11202021000 is an abundant number, since it is smaller than the sum of its proper divisors (26749362600).

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

11202021000 is a wasteful number, since it uses less digits than its factorization.

11202021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11202021000 its reverse (12020211), we get a palindrome (11214041211).

The spelling of 11202021000 in words is "eleven billion, two hundred two million, twenty-one thousand".