101668381289475 has 576 divisors, whose sum is σ = 231266118021120. Its totient is φ = 38740023705600.

The previous prime is 101668381289441. The next prime is 101668381289477. The reversal of 101668381289475 is 574982183866101.

It is a Cunningham number, because it is equal to 10083074²-1.

It is not a de Polignac number, because 101668381289475 - 2²¹ = 101668379192323 is a prime.

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 575 ways as a sum of consecutive naturals, for example, 70652105806 + ... + 70652107244.

It is an arithmetic number, because the mean of its divisors is an integer number (401503677120).

It is a 1-persistent number, because it is pandigital, but 2⋅101668381289475 = 203336762578950 is not.

Almost surely, 2^{101668381289475} is an apocalyptic number.

101668381289475 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101668381289475 is an abundant number, since it is smaller than the sum of its proper divisors (129597736731645).

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

101668381289475 is a wasteful number, since it uses less digits than its factorization.

101668381289475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 69.

The spelling of 101668381289475 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-five".