10001105050107 has 32 divisors (see below), whose sum is σ = 13879869696000. Its totient is φ = 6397810739712.

The previous prime is 10001105050099. The next prime is 10001105050117. The reversal of 10001105050107 is 70105050110001.

It is a happy number.

It is not a de Polignac number, because 10001105050107 - 2³ = 10001105050099 is a prime.

It is a super-2 number, since 2×10001105050107² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10001105050117) 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, 11070144 + ... + 11939442.

It is an arithmetic number, because the mean of its divisors is an integer number (433745928000).

Almost surely, 2^{10001105050107} is an apocalyptic number.

10001105050107 is a deficient number, since it is larger than the sum of its proper divisors (3878764645893).

10001105050107 is a wasteful number, since it uses less digits than its factorization.

10001105050107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870147.

The product of its (nonzero) digits is 175, while the sum is 21.

Adding to 10001105050107 its reverse (70105050110001), we get a palindrome (80106155160108).

The spelling of 10001105050107 in words is "ten trillion, one billion, one hundred five million, fifty thousand, one hundred seven".