100961821696576 has 21 divisors (see below), whose sum is σ = 200346274440889. Its totient is φ = 50480870656384.

The previous prime is 100961821696553. The next prime is 100961821696577. The reversal of 100961821696576 is 675696128169001.

The square root of 100961821696576 is 10047976.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 90702766440000 + 10259055256576 = 9523800^2 + 3202976^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100961821696577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 79755810 + ... + 81011806.

Almost surely, 2^{100961821696576} is an apocalyptic number.

100961821696576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

100961821696576 is the 10047976-th square number.

It is an amenable number.

100961821696576 is a deficient number, since it is larger than the sum of its proper divisors (99384452744313).

100961821696576 is an frugal number, since it uses more digits than its factorization.

100961821696576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512006 (or 1255999 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 67.

The spelling of 100961821696576 in words is "one hundred trillion, nine hundred sixty-one billion, eight hundred twenty-one million, six hundred ninety-six thousand, five hundred seventy-six".