100013402223225 has 36 divisors (see below), whose sum is σ = 180809275988016. Its totient is φ = 52841972003040.

The previous prime is 100013402223209. The next prime is 100013402223227. The reversal of 100013402223225 is 522322204310001.

100013402223225 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 3 + 402 + 2 + 232 + 25 = 666.

It is not a de Polignac number, because 100013402223225 - 2⁴ = 100013402223209 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100013402223227) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2077097467 + ... + 2077145616.

It is an arithmetic number, because the mean of its divisors is an integer number (5022479888556).

Almost surely, 2^{100013402223225} is an apocalyptic number.

100013402223225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100013402223225 is a deficient number, since it is larger than the sum of its proper divisors (80795873764791).

100013402223225 is a wasteful number, since it uses less digits than its factorization.

100013402223225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4154243206 (or 4154243198 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 100013402223225 its reverse (522322204310001), we get a palindrome (622335606533226).

The spelling of 100013402223225 in words is "one hundred trillion, thirteen billion, four hundred two million, two hundred twenty-three thousand, two hundred twenty-five".