11011210021000 has 128 divisors (see below), whose sum is σ = 29457702144000. Its totient is φ = 3773915539200.

The previous prime is 11011210020947. The next prime is 11011210021069. The reversal of 11011210021000 is 12001211011.

It is a super-2 number, since 2×11011210021000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19297801 + ... + 19860199.

It is an arithmetic number, because the mean of its divisors is an integer number (230138298000).

Almost surely, 2^{11011210021000} is an apocalyptic number.

11011210021000 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 11011210021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14728851072000).

11011210021000 is an abundant number, since it is smaller than the sum of its proper divisors (18446492123000).

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

11011210021000 is a wasteful number, since it uses less digits than its factorization.

11011210021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565224 (or 565210 counting only the distinct ones).

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

Adding to 11011210021000 its reverse (12001211011), we get a palindrome (11023211232011).

The spelling of 11011210021000 in words is "eleven trillion, eleven billion, two hundred ten million, twenty-one thousand".