100100111001061 has 2 divisors, whose sum is σ = 100100111001062. Its totient is φ = 100100111001060.

The previous prime is 100100111000983. The next prime is 100100111001151. The reversal of 100100111001061 is 160100111001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85185793048225 + 14914317952836 = 9229615^2 + 3861906^2 .

It is an emirp because it is prime and its reverse (160100111001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100100111001061 - 2²⁷ = 100099976783333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100111001661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050055500530 + 50050055500531.

It is an arithmetic number, because the mean of its divisors is an integer number (50050055500531).

Almost surely, 2^{100100111001061} is an apocalyptic number.

It is an amenable number.

100100111001061 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100111001061 is an equidigital number, since it uses as much as digits as its factorization.

100100111001061 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 13.

Adding to 100100111001061 its reverse (160100111001001), we get a palindrome (260200222002062).

The spelling of 100100111001061 in words is "one hundred trillion, one hundred billion, one hundred eleven million, one thousand, sixty-one".