1002210000000 has 512 divisors, whose sum is σ = 3631350078720. Its totient is φ = 242880000000.

The previous prime is 1002209999983. The next prime is 1002210000007. The reversal of 1002210000000 is 122001.

It is a happy number.

1002210000000 is digitally balanced in base 2 and base 4, because in such bases 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 (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1002210000007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 329998482 + ... + 330001518.

Almost surely, 2^{1002210000000} is an apocalyptic number.

1002210000000 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 1002210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815675039360).

1002210000000 is an abundant number, since it is smaller than the sum of its proper divisors (2629140078720).

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

1002210000000 is an frugal number, since it uses more digits than its factorization.

1002210000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3100 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 1002210000000 its reverse (122001), we get a palindrome (1002210122001).

The spelling of 1002210000000 in words is "one trillion, two billion, two hundred ten million", and thus it is an aban number.