10100101105006 has 16 divisors (see below), whose sum is σ = 16530882278400. Its totient is φ = 4589998351480.

The previous prime is 10100101104991. The next prime is 10100101105033. The reversal of 10100101105006 is 60050110100101.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 47726836 + ... + 47937991.

It is an arithmetic number, because the mean of its divisors is an integer number (1033180142400).

Almost surely, 2^{10100101105006} is an apocalyptic number.

10100101105006 is a deficient number, since it is larger than the sum of its proper divisors (6430781173394).

10100101105006 is a wasteful number, since it uses less digits than its factorization.

10100101105006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95669639.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 10100101105006 its reverse (60050110100101), we get a palindrome (70150211205107).

The spelling of 10100101105006 in words is "ten trillion, one hundred billion, one hundred one million, one hundred five thousand, six".