100414144420 has 12 divisors (see below), whose sum is σ = 210869703324. Its totient is φ = 40165657760.

The previous prime is 100414144399. The next prime is 100414144433. The reversal of 100414144420 is 24441414001.

It can be written as a sum of positive squares in 2 ways, for example, as 36913168384 + 63500976036 = 192128^2 + 251994^2 .

It is an unprimeable number.

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, 2510353591 + ... + 2510353630.

It is an arithmetic number, because the mean of its divisors is an integer number (17572475277).

Almost surely, 2^100414144420 is an apocalyptic number.

100414144420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100414144420 is an abundant number, since it is smaller than the sum of its proper divisors (110455558904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100414144420 is a wasteful number, since it uses less digits than its factorization.

100414144420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5020707230 (or 5020707228 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 100414144420 its reverse (24441414001), we get a palindrome (124855558421).

The spelling of 100414144420 in words is "one hundred billion, four hundred fourteen million, one hundred forty-four thousand, four hundred twenty".