100412134200 has 144 divisors (see below), whose sum is σ = 385391382480. Its totient is φ = 22951342080.

The previous prime is 100412134183. The next prime is 100412134213. The reversal of 100412134200 is 2431214001.

100412134200 is a `hidden beast` number, since 100 + 412 + 134 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3972009 + ... + 3997208.

It is an arithmetic number, because the mean of its divisors is an integer number (2676329045).

Almost surely, 2^100412134200 is an apocalyptic number.

100412134200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100412134200 is an abundant number, since it is smaller than the sum of its proper divisors (284979248280).

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

100412134200 is a wasteful number, since it uses less digits than its factorization.

100412134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7969246 (or 7969234 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100412134200 its reverse (2431214001), we get a palindrome (102843348201).

The spelling of 100412134200 in words is "one hundred billion, four hundred twelve million, one hundred thirty-four thousand, two hundred".