10061016001 has 16 divisors (see below), whose sum is σ = 10374084864. Its totient is φ = 9754124544.

The previous prime is 10061015981. The next prime is 10061016013.

10061016001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10061016001 - 2⁵ = 10061015969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10061016101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1025220 + ... + 1034986.

It is an arithmetic number, because the mean of its divisors is an integer number (648380304).

Almost surely, 2^10061016001 is an apocalyptic number.

It is an amenable number.

10061016001 is a deficient number, since it is larger than the sum of its proper divisors (313068863).

10061016001 is a wasteful number, since it uses less digits than its factorization.

10061016001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10080.

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 100610 and 16001, that added together give a palindrome (116611).

The spelling of 10061016001 in words is "ten billion, sixty-one million, sixteen thousand, one".