10012001000001 has 32 divisors (see below), whose sum is σ = 17923582215168. Its totient is φ = 4800959519040.

The previous prime is 10012000999999. The next prime is 10012001000003. The reversal of 10012001000001 is 10000010021001.

It is an interprime number because it is at equal distance from previous prime (10012000999999) and next prime (10012001000003).

It is not a de Polignac number, because 10012001000001 - 2¹ = 10012000999999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10012001000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1666996831 + ... + 1667002836.

It is an arithmetic number, because the mean of its divisors is an integer number (560111944224).

Almost surely, 2^{10012001000001} is an apocalyptic number.

10012001000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10012001000001 is a deficient number, since it is larger than the sum of its proper divisors (7911581215167).

10012001000001 is a wasteful number, since it uses less digits than its factorization.

10012001000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333999701.

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

Adding to 10012001000001 its reverse (10000010021001), we get a palindrome (20012011021002).

It can be divided in two parts, 1001 and 2001000001, that added together give a palindrome (2001001002).

The spelling of 10012001000001 in words is "ten trillion, twelve billion, one million, one", and thus it is an aban number and an uban number.