101234416563 has 48 divisors (see below), whose sum is σ = 171218750976. Its totient is φ = 56445258240.

The previous prime is 101234416559. The next prime is 101234416573. The reversal of 101234416563 is 365614432101.

101234416563 is a `hidden beast` number, since 1 + 0 + 1 + 234 + 416 + 5 + 6 + 3 = 666.

It is not a de Polignac number, because 101234416563 - 2² = 101234416559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101234416513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317220 + ... + 550542.

It is an arithmetic number, because the mean of its divisors is an integer number (3567057312).

Almost surely, 2^101234416563 is an apocalyptic number.

101234416563 is a deficient number, since it is larger than the sum of its proper divisors (69984334413).

101234416563 is a wasteful number, since it uses less digits than its factorization.

101234416563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233504 (or 233501 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 101234416563 its reverse (365614432101), we get a palindrome (466848848664).

The spelling of 101234416563 in words is "one hundred one billion, two hundred thirty-four million, four hundred sixteen thousand, five hundred sixty-three".