10005011050001 has 4 divisors (see below), whose sum is σ = 10914557509104. Its totient is φ = 9095464590900.

The previous prime is 10005011049997. The next prime is 10005011050033.

10005011050001 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10005011050001 - 2² = 10005011049997 is a prime.

It is a super-2 number, since 2×10005011050001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10005011050081) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 454773229535 + ... + 454773229556.

It is an arithmetic number, because the mean of its divisors is an integer number (2728639377276).

Almost surely, 2^{10005011050001} is an apocalyptic number.

10005011050001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10005011050001 is a deficient number, since it is larger than the sum of its proper divisors (909546459103).

10005011050001 is an equidigital number, since it uses as much as digits as its factorization.

10005011050001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909546459102.

The product of its (nonzero) digits is 25, while the sum is 14.

It can be divided in two parts, 1000501 and 1050001, that added together give a palindrome (2050502).

The spelling of 10005011050001 in words is "ten trillion, five billion, eleven million, fifty thousand, one".