100414442121 has 24 divisors (see below), whose sum is σ = 155772967104. Its totient is φ = 57369322080.

The previous prime is 100414442099. The next prime is 100414442131. The reversal of 100414442121 is 121244414001.

It is not a de Polignac number, because 100414442121 - 2⁶ = 100414442057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100414442091 and 100414442100.

It is not an unprimeable number, because it can be changed into a prime (100414442131) 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 23 ways as a sum of consecutive naturals, for example, 795756 + ... + 913266.

It is an arithmetic number, because the mean of its divisors is an integer number (6490540296).

Almost surely, 2^100414442121 is an apocalyptic number.

It is an amenable number.

100414442121 is a deficient number, since it is larger than the sum of its proper divisors (55358524983).

100414442121 is a wasteful number, since it uses less digits than its factorization.

100414442121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123341 (or 123334 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 100414442121 its reverse (121244414001), we get a palindrome (221658856122).

The spelling of 100414442121 in words is "one hundred billion, four hundred fourteen million, four hundred forty-two thousand, one hundred twenty-one".