101131410001 has 8 divisors (see below), whose sum is σ = 101215283400. Its totient is φ = 101047572480.

The previous prime is 101131409933. The next prime is 101131410043. The reversal of 101131410001 is 100014131101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3600120001 + 97531290000 = 60001^2 + 312300^2 .

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 101131410001 - 2¹³ = 101131401809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101131410101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8927421 + ... + 8938741.

It is an arithmetic number, because the mean of its divisors is an integer number (12651910425).

Almost surely, 2^101131410001 is an apocalyptic number.

It is an amenable number.

101131410001 is a deficient number, since it is larger than the sum of its proper divisors (83873399).

101131410001 is a wasteful number, since it uses less digits than its factorization.

101131410001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17939.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101131410001 its reverse (100014131101), we get a palindrome (201145541102).

The spelling of 101131410001 in words is "one hundred one billion, one hundred thirty-one million, four hundred ten thousand, one".