11100000021000 has 256 divisors, whose sum is σ = 37880090726400. Its totient is φ = 2683806048000.

The previous prime is 11100000020983. The next prime is 11100000021049. The reversal of 11100000021000 is 12000000111.

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 self number, because there is not a number n which added to its sum of digits gives 11100000021000.

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 63 ways as a sum of consecutive naturals, for example, 12063249 + ... + 12950751.

It is an arithmetic number, because the mean of its divisors is an integer number (147969104400).

Almost surely, 2^{11100000021000} is an apocalyptic number.

11100000021000 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 11100000021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18940045363200).

11100000021000 is an abundant number, since it is smaller than the sum of its proper divisors (26780090705400).

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

11100000021000 is a wasteful number, since it uses less digits than its factorization.

11100000021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887917 (or 887903 counting only the distinct ones).

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

Adding to 11100000021000 its reverse (12000000111), we get a palindrome (11112000021111).

The spelling of 11100000021000 in words is "eleven trillion, one hundred billion, twenty-one thousand".