21222002102000 has 640 divisors, whose sum is σ = 60773264547840. Its totient is φ = 7017645772800.

The previous prime is 21222002101873. The next prime is 21222002102009. The reversal of 21222002102000 is 20120022212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222002102009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16237185347 + ... + 16237186653.

It is an arithmetic number, because the mean of its divisors is an integer number (94958225856).

Almost surely, 2^{21222002102000} is an apocalyptic number.

21222002102000 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 21222002102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30386632273920).

21222002102000 is an abundant number, since it is smaller than the sum of its proper divisors (39551262445840).

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

21222002102000 is a wasteful number, since it uses less digits than its factorization.

21222002102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 21222002102000 its reverse (20120022212), we get a palindrome (21242122124212).

The spelling of 21222002102000 in words is "twenty-one trillion, two hundred twenty-two billion, two million, one hundred two thousand".