10105506100101 has 16 divisors (see below), whose sum is σ = 13737393288000. Its totient is φ = 6605481093120.

The previous prime is 10105506099991. The next prime is 10105506100163. The reversal of 10105506100101 is 10100160550101.

It is a happy number.

It is not a de Polignac number, because 10105506100101 - 2³¹ = 10103358616453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105506100301) 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 15 ways as a sum of consecutive naturals, for example, 20961340 + ... + 21438021.

It is an arithmetic number, because the mean of its divisors is an integer number (858587080500).

Almost surely, 2^{10105506100101} is an apocalyptic number.

It is an amenable number.

10105506100101 is a deficient number, since it is larger than the sum of its proper divisors (3631887187899).

10105506100101 is a wasteful number, since it uses less digits than its factorization.

10105506100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42400916.

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 10105506100101 its reverse (10100160550101), we get a palindrome (20205666650202).

The spelling of 10105506100101 in words is "ten trillion, one hundred five billion, five hundred six million, one hundred thousand, one hundred one".