10010506055601 has 16 divisors (see below), whose sum is σ = 13350827488320. Its totient is φ = 6671927884800.

The previous prime is 10010506055597. The next prime is 10010506055699. The reversal of 10010506055601 is 10655060501001.

It is not a de Polignac number, because 10010506055601 - 2² = 10010506055597 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10010506055701) 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 15 ways as a sum of consecutive naturals, for example, 332416321 + ... + 332446433.

It is an arithmetic number, because the mean of its divisors is an integer number (834426718020).

Almost surely, 2^{10010506055601} is an apocalyptic number.

It is an amenable number.

10010506055601 is a deficient number, since it is larger than the sum of its proper divisors (3340321432719).

10010506055601 is a wasteful number, since it uses less digits than its factorization.

10010506055601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55376.

The product of its (nonzero) digits is 4500, while the sum is 30.

Adding to 10010506055601 its reverse (10655060501001), we get a palindrome (20665566556602).

The spelling of 10010506055601 in words is "ten trillion, ten billion, five hundred six million, fifty-five thousand, six hundred one".