1002210222000 has 480 divisors, whose sum is σ = 3611770546176. Its totient is φ = 238732416000.

The previous prime is 1002210221993. The next prime is 1002210222053. The reversal of 1002210222000 is 2220122001.

1002210222000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 31418059 + ... + 31449941.

Almost surely, 2^{1002210222000} is an apocalyptic number.

1002210222000 is a gapful number since it is divisible by the number (10) 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 1002210222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805885273088).

1002210222000 is an abundant number, since it is smaller than the sum of its proper divisors (2609560324176).

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

1002210222000 is a wasteful number, since it uses less digits than its factorization.

1002210222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31966 (or 31937 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1002210222000 its reverse (2220122001), we get a palindrome (1004430344001).

Subtracting from 1002210222000 its reverse (2220122001), we obtain a palindrome (999990099999).

The spelling of 1002210222000 in words is "one trillion, two billion, two hundred ten million, two hundred twenty-two thousand".