100961826997 has 2 divisors, whose sum is σ = 100961826998. Its totient is φ = 100961826996.

The previous prime is 100961826991. The next prime is 100961827007. The reversal of 100961826997 is 799628169001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67950934276 + 33010892721 = 260674^2 + 181689^2 .

It is an emirp because it is prime and its reverse (799628169001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100961826997 - 2²³ = 100953438389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100961826991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50480913498 + 50480913499.

It is an arithmetic number, because the mean of its divisors is an integer number (50480913499).

Almost surely, 2^100961826997 is an apocalyptic number.

It is an amenable number.

100961826997 is a deficient number, since it is larger than the sum of its proper divisors (1).

100961826997 is an equidigital number, since it uses as much as digits as its factorization.

100961826997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2939328, while the sum is 58.

The spelling of 100961826997 in words is "one hundred billion, nine hundred sixty-one million, eight hundred twenty-six thousand, nine hundred ninety-seven".