100101866994461 has 2 divisors, whose sum is σ = 100101866994462. Its totient is φ = 100101866994460.

The previous prime is 100101866994427. The next prime is 100101866994469. The reversal of 100101866994461 is 164499668101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69924214684900 + 30177652309561 = 8362070^2 + 5493419^2 .

It is an emirp because it is prime and its reverse (164499668101001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100101866994461 - 2²² = 100101862800157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101866994397 and 100101866994406.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101866994469) 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, 50050933497230 + 50050933497231.

It is an arithmetic number, because the mean of its divisors is an integer number (50050933497231).

Almost surely, 2^{100101866994461} is an apocalyptic number.

It is an amenable number.

100101866994461 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101866994461 is an equidigital number, since it uses as much as digits as its factorization.

100101866994461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2239488, while the sum is 56.

The spelling of 100101866994461 in words is "one hundred trillion, one hundred one billion, eight hundred sixty-six million, nine hundred ninety-four thousand, four hundred sixty-one".