10005505105101 has 8 divisors (see below), whose sum is σ = 14553461971104. Its totient is φ = 6063942487920.

The previous prime is 10005505105069. The next prime is 10005505105117. The reversal of 10005505105101 is 10150150550001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10005505105101 - 2⁵ = 10005505105069 is a prime.

It is a super-2 number, since 2×10005505105101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005505105201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151598562166 + ... + 151598562231.

It is an arithmetic number, because the mean of its divisors is an integer number (1819182746388).

Almost surely, 2^{10005505105101} is an apocalyptic number.

10005505105101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10005505105101 is a deficient number, since it is larger than the sum of its proper divisors (4547956866003).

10005505105101 is a wasteful number, since it uses less digits than its factorization.

10005505105101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303197124411.

The product of its (nonzero) digits is 625, while the sum is 24.

Adding to 10005505105101 its reverse (10150150550001), we get a palindrome (20155655655102).

The spelling of 10005505105101 in words is "ten trillion, five billion, five hundred five million, one hundred five thousand, one hundred one".