10010505506001 has 64 divisors (see below), whose sum is σ = 18098340212736. Its totient is φ = 4752715104000.

The previous prime is 10010505505999. The next prime is 10010505506011. The reversal of 10010505506001 is 10060550501001.

10010505506001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10010505506001 - 2¹ = 10010505505999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10010505506011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16199181 + ... + 16805786.

It is an arithmetic number, because the mean of its divisors is an integer number (282786565824).

Almost surely, 2^{10010505506001} is an apocalyptic number.

10010505506001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010505506001 is a deficient number, since it is larger than the sum of its proper divisors (8087834706735).

10010505506001 is a wasteful number, since it uses less digits than its factorization.

10010505506001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33005102.

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 10010505506001 in words is "ten trillion, ten billion, five hundred five million, five hundred six thousand, one".