221002210000 has 400 divisors, whose sum is σ = 665662269888. Its totient is φ = 69811200000.

The previous prime is 221002209947. The next prime is 221002210031. The reversal of 221002210000 is 12200122.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent 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 79 ways as a sum of consecutive naturals, for example, 24305455 + ... + 24314545.

Almost surely, 2^221002210000 is an apocalyptic number.

221002210000 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 221002210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332831134944).

221002210000 is an abundant number, since it is smaller than the sum of its proper divisors (444660059888).

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

221002210000 is a wasteful number, since it uses less digits than its factorization.

221002210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9160 (or 9139 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 221002210000 its reverse (12200122), we get a palindrome (221014410122).

It can be divided in two parts, 22100 and 2210000, that multiplied together give a square (48841000000 = 221000²).

The spelling of 221002210000 in words is "two hundred twenty-one billion, two million, two hundred ten thousand".