1002002001210 has 128 divisors (see below), whose sum is σ = 3056688230400. Its totient is φ = 228806441280.

The previous prime is 1002002001191. The next prime is 1002002001229. The reversal of 1002002001210 is 121002002001.

It is an interprime number because it is at equal distance from previous prime (1002002001191) and next prime (1002002001229).

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

It is a junction number, because it is equal to n+sod(n) for n = 1002002001192 and 1002002001201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1691481 + ... + 2205699.

It is an arithmetic number, because the mean of its divisors is an integer number (23880376800).

Almost surely, 2^{1002002001210} is an apocalyptic number.

1002002001210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002002001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528344115200).

1002002001210 is an abundant number, since it is smaller than the sum of its proper divisors (2054686229190).

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

1002002001210 is a wasteful number, since it uses less digits than its factorization.

1002002001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515273 (or 515267 counting only the distinct ones).

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

Adding to 1002002001210 its reverse (121002002001), we get a palindrome (1123004003211).

The spelling of 1002002001210 in words is "one trillion, two billion, two million, one thousand, two hundred ten".