101214414531 has 24 divisors (see below), whose sum is σ = 153980037120. Its totient is φ = 63888848496.

The previous prime is 101214414527. The next prime is 101214414563. The reversal of 101214414531 is 135414412101.

It is a happy number.

101214414531 is a `hidden beast` number, since 1 + 0 + 1 + 214 + 414 + 5 + 31 = 666.

It is not a de Polignac number, because 101214414531 - 2² = 101214414527 is a prime.

It is a super-2 number, since 2×101214414531² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101214414495 and 101214414504.

It is not an unprimeable number, because it can be changed into a prime (101214814531) 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 23 ways as a sum of consecutive naturals, for example, 138910 + ... + 470876.

It is an arithmetic number, because the mean of its divisors is an integer number (6415834880).

Almost surely, 2^101214414531 is an apocalyptic number.

101214414531 is a deficient number, since it is larger than the sum of its proper divisors (52765622589).

101214414531 is a wasteful number, since it uses less digits than its factorization.

101214414531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333775 (or 333772 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 101214414531 its reverse (135414412101), we get a palindrome (236628826632).

The spelling of 101214414531 in words is "one hundred one billion, two hundred fourteen million, four hundred fourteen thousand, five hundred thirty-one".