101668381289476 has 27 divisors (see below), whose sum is σ = 189001806335167. Its totient is φ = 47843782807040.

The previous prime is 101668381289441. The next prime is 101668381289477. The reversal of 101668381289476 is 674982183866101.

The square root of 101668381289476 is 10083074.

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

It can be written as a sum of positive squares in 4 ways, for example, as 70965966256900 + 30702415032576 = 8424130^2 + 5540976^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101668381289477) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 342676236 + ... + 342972796.

Almost surely, 2^{101668381289476} is an apocalyptic number.

101668381289476 is the 10083074-th square number.

It is an amenable number.

101668381289476 is a deficient number, since it is larger than the sum of its proper divisors (87333425045691).

101668381289476 is an frugal number, since it uses more digits than its factorization.

101668381289476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593160 (or 296580 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 70.

The spelling of 101668381289476 in words is "one hundred one trillion, six hundred sixty-eight billion, three hundred eighty-one million, two hundred eighty-nine thousand, four hundred seventy-six".