1001010010002 has 8 divisors (see below), whose sum is σ = 2002020020016. Its totient is φ = 333670003332.

The previous prime is 1001010010001. The next prime is 1001010010003. The reversal of 1001010010002 is 2000100101001.

It is an interprime number because it is at equal distance from previous prime (1001010010001) and next prime (1001010010003).

It is a sphenic number, since it is the product of 3 distinct primes.

1001010010002 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (6), and also a Moran number because the ratio is a prime number: 166835001667 = 1001010010002 / (1 + 0 + 0 + 1 + 0 + 1 + 0 + 0 + 1 + 0 + 0 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (1001010010001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83417500828 + ... + 83417500839.

It is an arithmetic number, because the mean of its divisors is an integer number (250252502502).

Almost surely, 2^{1001010010002} is an apocalyptic number.

1001010010002 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

1001010010002 is a wasteful number, since it uses less digits than its factorization.

1001010010002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166835001672.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1001010010002 its reverse (2000100101001), we get a palindrome (3001110111003).

Subtracting 1001010010002 from its reverse (2000100101001), we obtain a palindrome (999090090999).

The spelling of 1001010010002 in words is "one trillion, one billion, ten million, ten thousand, two".