100414410101 has 4 divisors (see below), whose sum is σ = 100420440000. Its totient is φ = 100408380204.

The previous prime is 100414410059. The next prime is 100414410121. The reversal of 100414410101 is 101014414001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100414410101 - 2¹⁰ = 100414409077 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 100414410101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100414410121) 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 3 ways as a sum of consecutive naturals, for example, 2989901 + ... + 3023298.

It is an arithmetic number, because the mean of its divisors is an integer number (25105110000).

Almost surely, 2^100414410101 is an apocalyptic number.

It is an amenable number.

100414410101 is a deficient number, since it is larger than the sum of its proper divisors (6029899).

100414410101 is an equidigital number, since it uses as much as digits as its factorization.

100414410101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6029898.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100414410101 its reverse (101014414001), we get a palindrome (201428824102).

The spelling of 100414410101 in words is "one hundred billion, four hundred fourteen million, four hundred ten thousand, one hundred one".