1002001210200 has 576 divisors, whose sum is σ = 3597113520000. Its totient is φ = 249242572800.

The previous prime is 1002001210163. The next prime is 1002001210291. The reversal of 1002001210200 is 20121002001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 622746996 + ... + 622748604.

It is an arithmetic number, because the mean of its divisors is an integer number (6244988750).

Almost surely, 2^{1002001210200} is an apocalyptic number.

1002001210200 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 1002001210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798556760000).

1002001210200 is an abundant number, since it is smaller than the sum of its proper divisors (2595112309800).

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

1002001210200 is a wasteful number, since it uses less digits than its factorization.

1002001210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1908 counting only the distinct ones).

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

Adding to 1002001210200 its reverse (20121002001), we get a palindrome (1022122212201).

It can be divided in two parts, 1002001 and 210200, that added together give a square (1212201 = 1101²).

The spelling of 1002001210200 in words is "one trillion, two billion, one million, two hundred ten thousand, two hundred".