100205152014 has 64 divisors (see below), whose sum is σ = 219309742080. Its totient is φ = 30270876000.

The previous prime is 100205151931. The next prime is 100205152169. The reversal of 100205152014 is 410251502001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38852977 + ... + 38855555.

It is an arithmetic number, because the mean of its divisors is an integer number (3426714720).

Almost surely, 2^100205152014 is an apocalyptic number.

100205152014 is an abundant number, since it is smaller than the sum of its proper divisors (119104590066).

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

100205152014 is a wasteful number, since it uses less digits than its factorization.

100205152014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4197.

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 100205152014 its reverse (410251502001), we get a palindrome (510456654015).

The spelling of 100205152014 in words is "one hundred billion, two hundred five million, one hundred fifty-two thousand, fourteen".