10105560060101 has 16 divisors (see below), whose sum is σ = 11130749369280. Its totient is φ = 9098174666880.

The previous prime is 10105560060083. The next prime is 10105560060103. The reversal of 10105560060101 is 10106006550101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10105560060101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105560060103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2439215 + ... + 5114771.

It is an arithmetic number, because the mean of its divisors is an integer number (695671835580).

Almost surely, 2^{10105560060101} is an apocalyptic number.

10105560060101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10105560060101 is a deficient number, since it is larger than the sum of its proper divisors (1025189309179).

10105560060101 is a wasteful number, since it uses less digits than its factorization.

10105560060101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678884.

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 10105560060101 in words is "ten trillion, one hundred five billion, five hundred sixty million, sixty thousand, one hundred one".