10100242131 has 16 divisors (see below), whose sum is σ = 15392749824. Its totient is φ = 5770852704.

The previous prime is 10100242127. The next prime is 10100242133. The reversal of 10100242131 is 13124200101.

10100242131 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10100242131 - 2² = 10100242127 is a prime.

It is a super-2 number, since 2×10100242131² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10100242131.

It is not an unprimeable number, because it can be changed into a prime (10100242133) 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 15 ways as a sum of consecutive naturals, for example, 177565 + ... + 227441.

It is an arithmetic number, because the mean of its divisors is an integer number (962046864).

Almost surely, 2^10100242131 is an apocalyptic number.

10100242131 is a deficient number, since it is larger than the sum of its proper divisors (5292507693).

10100242131 is an equidigital number, since it uses as much as digits as its factorization.

10100242131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59530.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10100242131 its reverse (13124200101), we get a palindrome (23224442232).

The spelling of 10100242131 in words is "ten billion, one hundred million, two hundred forty-two thousand, one hundred thirty-one".