101668630758912 has 720 divisors, whose sum is σ = 344606408443440. Its totient is φ = 28770553921536.

The previous prime is 101668630758869. The next prime is 101668630758923. The reversal of 101668630758912 is 219857036866101.

101668630758912 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 6 + 8 + 6 + 30 + 7 + 589 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 101668630758912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10097187414 + ... + 10097197482.

It is an arithmetic number, because the mean of its divisors is an integer number (478620011727).

Almost surely, 2^{101668630758912} is an apocalyptic number.

101668630758912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101668630758912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172303204221720).

101668630758912 is an abundant number, since it is smaller than the sum of its proper divisors (242937777684528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101668630758912 is a wasteful number, since it uses less digits than its factorization.

101668630758912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10531 (or 10505 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 101668630758912 in words is "one hundred one trillion, six hundred sixty-eight billion, six hundred thirty million, seven hundred fifty-eight thousand, nine hundred twelve".