100106010011061 has 12 divisors (see below), whose sum is σ = 144969286139340. Its totient is φ = 66565778719680.

The previous prime is 100106010011041. The next prime is 100106010011131. The reversal of 100106010011061 is 160110010601001.

100106010011061 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 601 + 0 + 0 + 1 + 1 + 0 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39324262060836 + 60781747950225 = 6270906^2 + 7796265^2 .

It is not a de Polignac number, because 100106010011061 - 2¹⁰ = 100106010010037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100106010011041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14296770280 + ... + 14296777281.

It is an arithmetic number, because the mean of its divisors is an integer number (12080773844945).

Almost surely, 2^{100106010011061} is an apocalyptic number.

It is an amenable number.

100106010011061 is a deficient number, since it is larger than the sum of its proper divisors (44863276128279).

100106010011061 is a wasteful number, since it uses less digits than its factorization.

100106010011061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28593547956 (or 28593547953 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 100106010011061 its reverse (160110010601001), we get a palindrome (260216020612062).

The spelling of 100106010011061 in words is "one hundred trillion, one hundred six billion, ten million, eleven thousand, sixty-one".