100214331404140 has 24 divisors (see below), whose sum is σ = 210488931772560. Its totient is φ = 40078335261888.

The previous prime is 100214331404113. The next prime is 100214331404149. The reversal of 100214331404140 is 41404133412001.

It is a junction number, because it is equal to n+sod(n) for n = 100214331404099 and 100214331404108.

It is not an unprimeable number, because it can be changed into a prime (100214331404149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 462220147 + ... + 462436906.

It is an arithmetic number, because the mean of its divisors is an integer number (8770372157190).

Almost surely, 2^{100214331404140} is an apocalyptic number.

100214331404140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100214331404140 is an abundant number, since it is smaller than the sum of its proper divisors (110274600368420).

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

100214331404140 is a wasteful number, since it uses less digits than its factorization.

100214331404140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924662481 (or 924662479 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 100214331404140 its reverse (41404133412001), we get a palindrome (141618464816141).

The spelling of 100214331404140 in words is "one hundred trillion, two hundred fourteen billion, three hundred thirty-one million, four hundred four thousand, one hundred forty".