101412623345616 has 90 divisors (see below), whose sum is σ = 311961386572290. Its totient is φ = 30731097978240.

The previous prime is 101412623345611. The next prime is 101412623345629. The reversal of 101412623345616 is 616543326214101.

101412623345616 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 1 + 2 + 6 + 23 + 3 + 4 + 5 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96910163735616 + 4502459610000 = 9844296^2 + 2121900^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101412623345611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2910124431 + ... + 2910159278.

It is an arithmetic number, because the mean of its divisors is an integer number (3466237628581).

Almost surely, 2^{101412623345616} is an apocalyptic number.

101412623345616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101412623345616 is an abundant number, since it is smaller than the sum of its proper divisors (210548763226674).

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

101412623345616 is a wasteful number, since it uses less digits than its factorization.

101412623345616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820283745 (or 5820283725 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

Adding to 101412623345616 its reverse (616543326214101), we get a palindrome (717955949559717).

The spelling of 101412623345616 in words is "one hundred one trillion, four hundred twelve billion, six hundred twenty-three million, three hundred forty-five thousand, six hundred sixteen".