10001010001002 has 8 divisors (see below), whose sum is σ = 20002020002016. Its totient is φ = 3333670000332.

The previous prime is 10001010000973. The next prime is 10001010001027. The reversal of 10001010001002 is 20010001010001.

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

10001010001002 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: 1666835000167 = 10001010001002 / (1 + 0 + 0 + 0 + 1 + 0 + 1 + 0 + 0 + 0 + 1 + 0 + 0 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 833417500078 + ... + 833417500089.

It is an arithmetic number, because the mean of its divisors is an integer number (2500252500252).

Almost surely, 2^{10001010001002} is an apocalyptic number.

10001010001002 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.

10001010001002 is a wasteful number, since it uses less digits than its factorization.

10001010001002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666835000172.

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

Adding to 10001010001002 its reverse (20010001010001), we get a palindrome (30011011011003).

The spelling of 10001010001002 in words is "ten trillion, one billion, ten million, one thousand, two".