21102222222000 has 800 divisors, whose sum is σ = 78085089139200. Its totient is φ = 5490076838400.

The previous prime is 21102222221953. The next prime is 21102222222013. The reversal of 21102222222000 is 22222220112.

21102222222000 is a `hidden beast` number, since 21 + 1 + 0 + 222 + 222 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11835233109 + ... + 11835234891.

It is an arithmetic number, because the mean of its divisors is an integer number (97606361424).

Almost surely, 2^{21102222222000} is an apocalyptic number.

21102222222000 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 21102222222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39042544569600).

21102222222000 is an abundant number, since it is smaller than the sum of its proper divisors (56982866917200).

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

21102222222000 is a wasteful number, since it uses less digits than its factorization.

21102222222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21102222222000 its reverse (22222220112), we get a palindrome (21124444442112).

The spelling of 21102222222000 in words is "twenty-one trillion, one hundred two billion, two hundred twenty-two million, two hundred twenty-two thousand".