101524414401 has 12 divisors (see below), whose sum is σ = 146736530512. Its totient is φ = 67641333336.

The previous prime is 101524414339. The next prime is 101524414403. The reversal of 101524414401 is 104414425101.

It is a happy number.

101524414401 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 244 + 14 + 401 = 666.

It is not a de Polignac number, because 101524414401 - 2⁶ = 101524414337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101524414403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3452011 + ... + 3481296.

Almost surely, 2^101524414401 is an apocalyptic number.

It is an amenable number.

101524414401 is a deficient number, since it is larger than the sum of its proper divisors (45212116111).

101524414401 is a wasteful number, since it uses less digits than its factorization.

101524414401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6934940 (or 6934937 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 101524414401 its reverse (104414425101), we get a palindrome (205938839502).

The spelling of 101524414401 in words is "one hundred one billion, five hundred twenty-four million, four hundred fourteen thousand, four hundred one".