101661100106 has 16 divisors (see below), whose sum is σ = 157426045440. Its totient is φ = 49186070640.

The previous prime is 101661100069. The next prime is 101661100127. The reversal of 101661100106 is 601001166101.

It is a super-2 number, since 2×101661100106² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 610700 + ... + 759128.

It is an arithmetic number, because the mean of its divisors is an integer number (9839127840).

Almost surely, 2^101661100106 is an apocalyptic number.

101661100106 is a deficient number, since it is larger than the sum of its proper divisors (55764945334).

101661100106 is a wasteful number, since it uses less digits than its factorization.

101661100106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159509.

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 101661100106 its reverse (601001166101), we get a palindrome (702662266207).

The spelling of 101661100106 in words is "one hundred one billion, six hundred sixty-one million, one hundred thousand, one hundred six".