11000021112210 has 384 divisors, whose sum is σ = 30751860142080. Its totient is φ = 2501608499712.

The previous prime is 11000021112193. The next prime is 11000021112271. The reversal of 11000021112210 is 1221112000011.

It is a super-2 number, since 2×11000021112210² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

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 191 ways as a sum of consecutive naturals, for example, 5854188051 + ... + 5854189929.

It is an arithmetic number, because the mean of its divisors is an integer number (80082969120).

Almost surely, 2^{11000021112210} is an apocalyptic number.

11000021112210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000021112210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15375930071040).

11000021112210 is an abundant number, since it is smaller than the sum of its proper divisors (19751839029870).

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

11000021112210 is a wasteful number, since it uses less digits than its factorization.

11000021112210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11000021112210 its reverse (1221112000011), we get a palindrome (12221133112221).

The spelling of 11000021112210 in words is "eleven trillion, twenty-one million, one hundred twelve thousand, two hundred ten".