10111001566105 has 32 divisors (see below), whose sum is σ = 13280314694400. Its totient is φ = 7328964249600.

The previous prime is 10111001566103. The next prime is 10111001566111. The reversal of 10111001566105 is 50166510011101.

It is not a de Polignac number, because 10111001566105 - 2¹ = 10111001566103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10111001566103) 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 31 ways as a sum of consecutive naturals, for example, 173911681 + ... + 173969809.

It is an arithmetic number, because the mean of its divisors is an integer number (415009834200).

Almost surely, 2^{10111001566105} is an apocalyptic number.

It is an amenable number.

10111001566105 is a deficient number, since it is larger than the sum of its proper divisors (3169313128295).

10111001566105 is a wasteful number, since it uses less digits than its factorization.

10111001566105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68625.

The product of its (nonzero) digits is 900, while the sum is 28.

Adding to 10111001566105 its reverse (50166510011101), we get a palindrome (60277511577206).

The spelling of 10111001566105 in words is "ten trillion, one hundred eleven billion, one million, five hundred sixty-six thousand, one hundred five".