100214434300002 has 128 divisors (see below), whose sum is σ = 226844323614720. Its totient is φ = 29248879296000.

The previous prime is 100214434299971. The next prime is 100214434300021. The reversal of 100214434300002 is 200003434412001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2268761377 + ... + 2268805547.

It is an arithmetic number, because the mean of its divisors is an integer number (1772221278240).

Almost surely, 2^{100214434300002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100214434300002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113422161807360).

100214434300002 is an abundant number, since it is smaller than the sum of its proper divisors (126629889314718).

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

100214434300002 is a wasteful number, since it uses less digits than its factorization.

100214434300002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54920.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 100214434300002 its reverse (200003434412001), we get a palindrome (300217868712003).

The spelling of 100214434300002 in words is "one hundred trillion, two hundred fourteen billion, four hundred thirty-four million, three hundred thousand, two".