10012007667067 has 12 divisors (see below), whose sum is σ = 11866368735936. Its totient is φ = 8419801593840.

The previous prime is 10012007667061. The next prime is 10012007667113. The reversal of 10012007667067 is 76076670021001.

It is not a de Polignac number, because 10012007667067 - 2³ = 10012007667059 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10012007667061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1927607659 + ... + 1927612852.

It is an arithmetic number, because the mean of its divisors is an integer number (988864061328).

Almost surely, 2^{10012007667067} is an apocalyptic number.

10012007667067 is a deficient number, since it is larger than the sum of its proper divisors (1854361068869).

10012007667067 is an equidigital number, since it uses as much as digits as its factorization.

10012007667067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855220578 (or 3855220571 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 43.

Adding to 10012007667067 its reverse (76076670021001), we get a palindrome (86088677688068).

The spelling of 10012007667067 in words is "ten trillion, twelve billion, seven million, six hundred sixty-seven thousand, sixty-seven".