11021010000 has 800 divisors, whose sum is σ = 47898267648. Its totient is φ = 2108160000.

The previous prime is 11021009969. The next prime is 11021010109. The reversal of 11021010000 is 1012011.

It is a super-2 number, since 2×11021010000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30029817 + ... + 30030183.

Almost surely, 2^11021010000 is an apocalyptic number.

11021010000 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 11021010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23949133824).

11021010000 is an abundant number, since it is smaller than the sum of its proper divisors (36877257648).

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

11021010000 is a wasteful number, since it uses less digits than its factorization.

11021010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11021010000 its reverse (1012011), we get a palindrome (11022022011).

The spelling of 11021010000 in words is "eleven billion, twenty-one million, ten thousand".