10010100100006 has 16 divisors (see below), whose sum is σ = 15153415588080. Its totient is φ = 4958964672480.

The previous prime is 10010100099973. The next prime is 10010100100027. The reversal of 10010100100006 is 60000100101001.

It is a junction number, because it is equal to n+sod(n) for n = 10010100099965 and 10010100100001.

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, 5822641 + ... + 7343251.

It is an arithmetic number, because the mean of its divisors is an integer number (947088474255).

Almost surely, 2^{10010100100006} is an apocalyptic number.

10010100100006 is a deficient number, since it is larger than the sum of its proper divisors (5143315488074).

10010100100006 is a wasteful number, since it uses less digits than its factorization.

10010100100006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550919.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10010100100006 its reverse (60000100101001), we get a palindrome (70010200201007).

The spelling of 10010100100006 in words is "ten trillion, ten billion, one hundred million, one hundred thousand, six".