1002220010000 has 300 divisors, whose sum is σ = 2724018734976. Its totient is φ = 356669280000.

The previous prime is 1002220009997. The next prime is 1002220010017. The reversal of 1002220010000 is 100222001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1002220010000.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 56861189 + ... + 56878811.

Almost surely, 2^{1002220010000} is an apocalyptic number.

1002220010000 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 1002220010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362009367488).

1002220010000 is an abundant number, since it is smaller than the sum of its proper divisors (1721798724976).

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

1002220010000 is a wasteful number, since it uses less digits than its factorization.

1002220010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17720 (or 17688 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 1002220010000 its reverse (100222001), we get a palindrome (1002320232001).

1002220010000 divided by its reverse (100222001) gives a 4-th power (10000 = 10⁴).

The spelling of 1002220010000 in words is "one trillion, two billion, two hundred twenty million, ten thousand".