1002201210000 has 675 divisors, whose sum is σ = 3632147124463. Its totient is φ = 257883360000.

The previous prime is 1002201209987. The next prime is 1002201210037. The reversal of 1002201210000 is 121022001.

The square root of 1002201210000 is 1001100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 78572574864 + 923628635136 = 280308^2 + 961056^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 14115509965 + ... + 14115510035.

Almost surely, 2^{1002201210000} is an apocalyptic number.

1002201210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002201210000 is the 1001100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002201210000

1002201210000 is an abundant number, since it is smaller than the sum of its proper divisors (2629945914463).

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

1002201210000 is an frugal number, since it uses more digits than its factorization.

1002201210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1002201210000 its reverse (121022001), we get a palindrome (1002322232001).

It can be divided in two parts, 1002201 and 210000, that added together give a square (1212201 = 1101²).

The spelling of 1002201210000 in words is "one trillion, two billion, two hundred one million, two hundred ten thousand".