10000505501001 has 6 divisors (see below), whose sum is σ = 14445174612570. Its totient is φ = 6667003667328.

The previous prime is 10000505500927. The next prime is 10000505501003. The reversal of 10000505501001 is 10010550500001.

10000505501001 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 5 + 0 + 550 + 100 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7196471525376 + 2804033975625 = 2682624^2 + 1674525^2 .

It is not a de Polignac number, because 10000505501001 - 2²⁹ = 9999968630089 is a prime.

It is a super-2 number, since 2×10000505501001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10000505501003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555583638936 + ... + 555583638953.

It is an arithmetic number, because the mean of its divisors is an integer number (2407529102095).

Almost surely, 2^{10000505501001} is an apocalyptic number.

It is an amenable number.

10000505501001 is a deficient number, since it is larger than the sum of its proper divisors (4444669111569).

10000505501001 is a wasteful number, since it uses less digits than its factorization.

10000505501001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111167277895 (or 1111167277892 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The spelling of 10000505501001 in words is "ten trillion, five hundred five million, five hundred one thousand, one".