101132414301 has 8 divisors (see below), whose sum is σ = 134867154240. Its totient is φ = 67409641952.

The previous prime is 101132414287. The next prime is 101132414311. The reversal of 101132414301 is 103414231101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101132414301 - 2¹¹ = 101132412253 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132414311) 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 7 ways as a sum of consecutive naturals, for example, 2972160 + ... + 3005993.

It is an arithmetic number, because the mean of its divisors is an integer number (16858394280).

Almost surely, 2^101132414301 is an apocalyptic number.

It is an amenable number.

101132414301 is a deficient number, since it is larger than the sum of its proper divisors (33734739939).

101132414301 is an equidigital number, since it uses as much as digits as its factorization.

101132414301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5983795.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 101132414301 its reverse (103414231101), we get a palindrome (204546645402).

The spelling of 101132414301 in words is "one hundred one billion, one hundred thirty-two million, four hundred fourteen thousand, three hundred one".