10001100506106 has 16 divisors (see below), whose sum is σ = 20005145625024. Its totient is φ = 3333209399904.

The previous prime is 10001100506083. The next prime is 10001100506171. The reversal of 10001100506106 is 60160500110001.

It is a super-2 number, since 2×10001100506106² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 122648046 + ... + 122729561.

It is an arithmetic number, because the mean of its divisors is an integer number (1250321601564).

Almost surely, 2^{10001100506106} is an apocalyptic number.

10001100506106 is an abundant number, since it is smaller than the sum of its proper divisors (10004045118918).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10001100506106 is a wasteful number, since it uses less digits than its factorization.

10001100506106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245384405.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 10001100506106 its reverse (60160500110001), we get a palindrome (70161600616107).

The spelling of 10001100506106 in words is "ten trillion, one billion, one hundred million, five hundred six thousand, one hundred six".