1002134212002 has 256 divisors, whose sum is σ = 2897673523200. Its totient is φ = 249091476480.

The previous prime is 1002134211997. The next prime is 1002134212003. The reversal of 1002134212002 is 2002124312001.

It is a happy number.

1002134212002 is a `hidden beast` number, since 10 + 0 + 213 + 421 + 20 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1002134212003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13588993 + ... + 13662539.

It is an arithmetic number, because the mean of its divisors is an integer number (11319037200).

Almost surely, 2^{1002134212002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002134212002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448836761600).

1002134212002 is an abundant number, since it is smaller than the sum of its proper divisors (1895539311198).

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

1002134212002 is a wasteful number, since it uses less digits than its factorization.

1002134212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73718 (or 73712 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1002134212002 its reverse (2002124312001), we get a palindrome (3004258524003).

Subtracting 1002134212002 from its reverse (2002124312001), we obtain a palindrome (999990099999).

The spelling of 1002134212002 in words is "one trillion, two billion, one hundred thirty-four million, two hundred twelve thousand, two".