100111010110061 has 2 divisors, whose sum is σ = 100111010110062. Its totient is φ = 100111010110060.

The previous prime is 100111010110009. The next prime is 100111010110073. The reversal of 100111010110061 is 160011010111001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63395530061161 + 36715480048900 = 7962131^2 + 6059330^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111010110061 - 2⁶ = 100111010109997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111010110961) by changing a digit.

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 as a sum of consecutive naturals, namely, 50055505055030 + 50055505055031.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505055031).

Almost surely, 2^{100111010110061} is an apocalyptic number.

It is an amenable number.

100111010110061 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111010110061 is an equidigital number, since it uses as much as digits as its factorization.

100111010110061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 100111010110061 its reverse (160011010111001), we get a palindrome (260122020221062).

The spelling of 100111010110061 in words is "one hundred trillion, one hundred eleven billion, ten million, one hundred ten thousand, sixty-one".