22000211011100 has 288 divisors, whose sum is σ = 56953896384000. Its totient is φ = 7217030016000.

The previous prime is 22000211011087. The next prime is 22000211011111. The reversal of 22000211011100 is 111011200022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1154796575 + ... + 1154815625.

Almost surely, 2^{22000211011100} is an apocalyptic number.

22000211011100 is a gapful number since it is divisible by the number (20) 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 22000211011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28476948192000).

22000211011100 is an abundant number, since it is smaller than the sum of its proper divisors (34953685372900).

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

22000211011100 is a wasteful number, since it uses less digits than its factorization.

22000211011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19613 (or 19606 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 22000211011100 its reverse (111011200022), we get a palindrome (22111222211122).

The spelling of 22000211011100 in words is "twenty-two trillion, two hundred eleven million, eleven thousand, one hundred".