1002210212000 has 96 divisors (see below), whose sum is σ = 2465824757760. Its totient is φ = 400331500800.

The previous prime is 1002210211997. The next prime is 1002210212021. The reversal of 1002210212000 is 2120122001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2735681 + ... + 3080319.

It is an arithmetic number, because the mean of its divisors is an integer number (25685674560).

Almost surely, 2^{1002210212000} is an apocalyptic number.

1002210212000 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 1002210212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232912378880).

1002210212000 is an abundant number, since it is smaller than the sum of its proper divisors (1463614545760).

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

1002210212000 is an equidigital number, since it uses as much as digits as its factorization.

1002210212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345391 (or 345373 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1002210212000 its reverse (2120122001), we get a palindrome (1004330334001).

The spelling of 1002210212000 in words is "one trillion, two billion, two hundred ten million, two hundred twelve thousand".