101334414321 has 48 divisors (see below), whose sum is σ = 177271436160. Its totient is φ = 54544976640.

The previous prime is 101334414319. The next prime is 101334414329. The reversal of 101334414321 is 123414433101.

101334414321 is a `hidden beast` number, since 1 + 0 + 1 + 334 + 4 + 1 + 4 + 321 = 666.

It is not a de Polignac number, because 101334414321 - 2¹ = 101334414319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101334414329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 601495 + ... + 751308.

It is an arithmetic number, because the mean of its divisors is an integer number (3693154920).

Almost surely, 2^101334414321 is an apocalyptic number.

It is an amenable number.

101334414321 is a deficient number, since it is larger than the sum of its proper divisors (75937021839).

101334414321 is a wasteful number, since it uses less digits than its factorization.

101334414321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352886 (or 1352883 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 101334414321 its reverse (123414433101), we get a palindrome (224748847422).

The spelling of 101334414321 in words is "one hundred one billion, three hundred thirty-four million, four hundred fourteen thousand, three hundred twenty-one".