100106110050961 has 16 divisors (see below), whose sum is σ = 114576883274880. Its totient is φ = 85677895860480.

The previous prime is 100106110050937. The next prime is 100106110050983. The reversal of 100106110050961 is 169050011601001.

It is not a de Polignac number, because 100106110050961 - 2⁹ = 100106110050449 is a prime.

It is a super-2 number, since 2×100106110050961² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100106110050901) 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 15 ways as a sum of consecutive naturals, for example, 10820571 + ... + 17812831.

It is an arithmetic number, because the mean of its divisors is an integer number (7161055204680).

Almost surely, 2^{100106110050961} is an apocalyptic number.

It is an amenable number.

100106110050961 is a deficient number, since it is larger than the sum of its proper divisors (14470773223919).

100106110050961 is a wasteful number, since it uses less digits than its factorization.

100106110050961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6995304.

The product of its (nonzero) digits is 1620, while the sum is 31.

Adding to 100106110050961 its reverse (169050011601001), we get a palindrome (269156121651962).

The spelling of 100106110050961 in words is "one hundred trillion, one hundred six billion, one hundred ten million, fifty thousand, nine hundred sixty-one".