100102211110061 has 2 divisors, whose sum is σ = 100102211110062. Its totient is φ = 100102211110060.

The previous prime is 100102211109937. The next prime is 100102211110079. The reversal of 100102211110061 is 160011112201001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96221287470025 + 3880923640036 = 9809245^2 + 1970006^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102211110061 - 2⁴⁶ = 29733466932397 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102211910061) 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, 50051105555030 + 50051105555031.

It is an arithmetic number, because the mean of its divisors is an integer number (50051105555031).

Almost surely, 2^{100102211110061} is an apocalyptic number.

It is an amenable number.

100102211110061 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102211110061 is an equidigital number, since it uses as much as digits as its factorization.

100102211110061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 100102211110061 its reverse (160011112201001), we get a palindrome (260113323311062).

The spelling of 100102211110061 in words is "one hundred trillion, one hundred two billion, two hundred eleven million, one hundred ten thousand, sixty-one".