101516142310353 has 12 divisors (see below), whose sum is σ = 147054583739700. Its totient is φ = 67483510072416.

The previous prime is 101516142310333. The next prime is 101516142310357. The reversal of 101516142310353 is 353013241615101.

101516142310353 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 1 + 614 + 2 + 3 + 1 + 0 + 35 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88018696621584 + 13497445688769 = 9381828^2 + 3673887^2 .

It is not a de Polignac number, because 101516142310353 - 2⁵ = 101516142310321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101516142310357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16159841226 + ... + 16159847507.

It is an arithmetic number, because the mean of its divisors is an integer number (12254548644975).

Almost surely, 2^{101516142310353} is an apocalyptic number.

It is an amenable number.

101516142310353 is a deficient number, since it is larger than the sum of its proper divisors (45538441429347).

101516142310353 is a wasteful number, since it uses less digits than its factorization.

101516142310353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32319689088 (or 32319689085 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 101516142310353 its reverse (353013241615101), we get a palindrome (454529383925454).

The spelling of 101516142310353 in words is "one hundred one trillion, five hundred sixteen billion, one hundred forty-two million, three hundred ten thousand, three hundred fifty-three".