100214133024 has 48 divisors (see below), whose sum is σ = 265774104288. Its totient is φ = 33060329472.

The previous prime is 100214133023. The next prime is 100214133031. The reversal of 100214133024 is 420331412001.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (100214133023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5371602 + ... + 5390225.

It is an arithmetic number, because the mean of its divisors is an integer number (5536960506).

Almost surely, 2^100214133024 is an apocalyptic number.

It is an amenable number.

100214133024 is an abundant number, since it is smaller than the sum of its proper divisors (165559971264).

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

100214133024 is a wasteful number, since it uses less digits than its factorization.

100214133024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10761937 (or 10761929 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 100214133024 its reverse (420331412001), we get a palindrome (520545545025).

The spelling of 100214133024 in words is "one hundred billion, two hundred fourteen million, one hundred thirty-three thousand, twenty-four".