101516883467441 has 4 divisors (see below), whose sum is σ = 109325874503412. Its totient is φ = 93707892431472.

The previous prime is 101516883467381. The next prime is 101516883467473. The reversal of 101516883467441 is 144764388615101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 54325685395216 + 47191198072225 = 7370596^2 + 6869585^2 .

It is a cyclic number.

It is not a de Polignac number, because 101516883467441 - 2¹⁴ = 101516883451057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101516883463441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3904495517966 + ... + 3904495517991.

It is an arithmetic number, because the mean of its divisors is an integer number (27331468625853).

Almost surely, 2^{101516883467441} is an apocalyptic number.

It is an amenable number.

101516883467441 is a deficient number, since it is larger than the sum of its proper divisors (7808991035971).

101516883467441 is an equidigital number, since it uses as much as digits as its factorization.

101516883467441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7808991035970.

The product of its (nonzero) digits is 15482880, while the sum is 59.

The spelling of 101516883467441 in words is "one hundred one trillion, five hundred sixteen billion, eight hundred eighty-three million, four hundred sixty-seven thousand, four hundred forty-one".