2431011012101 has 8 divisors (see below), whose sum is σ = 2778841719744. Its totient is φ = 2083316159520.

The previous prime is 2431011012043. The next prime is 2431011012113. The reversal of 2431011012101 is 1012101101342.

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 2431011012101 - 2³⁸ = 2156133105157 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2431011012101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431011017101) 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 7 ways as a sum of consecutive naturals, for example, 33925415 + ... + 33996996.

It is an arithmetic number, because the mean of its divisors is an integer number (347355214968).

Almost surely, 2^{2431011012101} is an apocalyptic number.

It is an amenable number.

2431011012101 is a deficient number, since it is larger than the sum of its proper divisors (347830707643).

2431011012101 is an equidigital number, since it uses as much as digits as its factorization.

2431011012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67927531.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 2431011012101 its reverse (1012101101342), we get a palindrome (3443112113443).

The spelling of 2431011012101 in words is "two trillion, four hundred thirty-one billion, eleven million, twelve thousand, one hundred one".