10505506100101 has 8 divisors (see below), whose sum is σ = 11032090596864. Its totient is φ = 9984740216880.

The previous prime is 10505506100099. The next prime is 10505506100119. The reversal of 10505506100101 is 10100160550501.

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

It is a cyclic number.

It is not a de Polignac number, because 10505506100101 - 2¹ = 10505506100099 is a prime.

It is a super-2 number, since 2×10505506100101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505506100801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1454649685 + ... + 1454656906.

It is an arithmetic number, because the mean of its divisors is an integer number (1379011324608).

Almost surely, 2^{10505506100101} is an apocalyptic number.

It is an amenable number.

10505506100101 is a deficient number, since it is larger than the sum of its proper divisors (526584496763).

10505506100101 is a wasteful number, since it uses less digits than its factorization.

10505506100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909306771.

The product of its (nonzero) digits is 750, while the sum is 25.

Adding to 10505506100101 its reverse (10100160550501), we get a palindrome (20605666650602).

The spelling of 10505506100101 in words is "ten trillion, five hundred five billion, five hundred six million, one hundred thousand, one hundred one".