2334414412100 has 18 divisors (see below), whose sum is σ = 5065679274474. Its totient is φ = 933765764800.

The previous prime is 2334414412087. The next prime is 2334414412129. The reversal of 2334414412100 is 12144144332.

It can be written as a sum of positive squares in 3 ways, for example, as 545497462084 + 1788916950016 = 738578^2 + 1337504^2 .

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 5 ways as a sum of consecutive naturals, for example, 11672071961 + ... + 11672072160.

Almost surely, 2^{2334414412100} is an apocalyptic number.

2334414412100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2334414412100 is an abundant number, since it is smaller than the sum of its proper divisors (2731264862374).

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

2334414412100 is a wasteful number, since it uses less digits than its factorization.

2334414412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23344144135 (or 23344144128 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 2334414412100 its reverse (12144144332), we get a palindrome (2346558556432).

The spelling of 2334414412100 in words is "two trillion, three hundred thirty-four billion, four hundred fourteen million, four hundred twelve thousand, one hundred".