10001005510101 has 32 divisors (see below), whose sum is σ = 14586778321920. Its totient is φ = 6077824166400.

The previous prime is 10001005510099. The next prime is 10001005510189. The reversal of 10001005510101 is 10101550010001.

It is not a de Polignac number, because 10001005510101 - 2¹ = 10001005510099 is a prime.

It is a super-2 number, since 2×10001005510101² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001005530101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45111330 + ... + 45332483.

It is an arithmetic number, because the mean of its divisors is an integer number (455836822560).

Almost surely, 2^{10001005510101} is an apocalyptic number.

It is an amenable number.

10001005510101 is a deficient number, since it is larger than the sum of its proper divisors (4585772811819).

10001005510101 is a wasteful number, since it uses less digits than its factorization.

10001005510101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90443917.

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 10001005510101 its reverse (10101550010001), we get a palindrome (20102555520102).

The spelling of 10001005510101 in words is "ten trillion, one billion, five million, five hundred ten thousand, one hundred one".