100442121431 has 8 divisors (see below), whose sum is σ = 101043604560. Its totient is φ = 99842375232.

The previous prime is 100442121419. The next prime is 100442121433. The reversal of 100442121431 is 134121244001.

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 100442121431 - 2³⁴ = 83262252247 is a prime.

It is a super-2 number, since 2×100442121431² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100442121397 and 100442121406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100442121433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318140 + ... + 549633.

It is an arithmetic number, because the mean of its divisors is an integer number (12630450570).

Almost surely, 2^100442121431 is an apocalyptic number.

100442121431 is a deficient number, since it is larger than the sum of its proper divisors (601483129).

100442121431 is an equidigital number, since it uses as much as digits as its factorization.

100442121431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868465.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 100442121431 its reverse (134121244001), we get a palindrome (234563365432).

The spelling of 100442121431 in words is "one hundred billion, four hundred forty-two million, one hundred twenty-one thousand, four hundred thirty-one".