101963066817 has 8 divisors (see below), whose sum is σ = 136300245120. Its totient is φ = 67800633200.

The previous prime is 101963066731. The next prime is 101963066839. The reversal of 101963066817 is 718660369101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101963066817 - 2¹¹ = 101963064769 is a prime.

It is a super-2 number, since 2×101963066817² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101963066897) 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 in 7 ways as a sum of consecutive naturals, for example, 43684809 + ... + 43687142.

It is an arithmetic number, because the mean of its divisors is an integer number (17037530640).

Almost surely, 2^101963066817 is an apocalyptic number.

It is an amenable number.

101963066817 is a deficient number, since it is larger than the sum of its proper divisors (34337178303).

101963066817 is an equidigital number, since it uses as much as digits as its factorization.

101963066817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87372343.

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 101963066817 in words is "one hundred one billion, nine hundred sixty-three million, sixty-six thousand, eight hundred seventeen".