100961821696577 has 2 divisors, whose sum is σ = 100961821696578. Its totient is φ = 100961821696576.

The previous prime is 100961821696553. The next prime is 100961821696727. The reversal of 100961821696577 is 775696128169001.

It is a happy number.

It is a Cunningham number, because it is equal to 10047976²+1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100961821696576 + 1 = 10047976^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 100961821696577 - 2³⁰ = 100960747954753 is a prime.

It is not a weakly prime, because it can be changed into another prime (100961821696517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50480910848288 + 50480910848289.

It is an arithmetic number, because the mean of its divisors is an integer number (50480910848289).

Almost surely, 2^{100961821696577} is an apocalyptic number.

It is an amenable number.

100961821696577 is a deficient number, since it is larger than the sum of its proper divisors (1).

100961821696577 is an equidigital number, since it uses as much as digits as its factorization.

100961821696577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 68584320, while the sum is 68.

The spelling of 100961821696577 in words is "one hundred trillion, nine hundred sixty-one billion, eight hundred twenty-one million, six hundred ninety-six thousand, five hundred seventy-seven".