100000201125 has 64 divisors (see below), whose sum is σ = 181630874880. Its totient is φ = 48457376000.

The previous prime is 100000201123. The next prime is 100000201151. The reversal of 100000201125 is 521102000001.

It is not a de Polignac number, because 100000201125 - 2¹ = 100000201123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100000201125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000201121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8528767 + ... + 8540483.

It is an arithmetic number, because the mean of its divisors is an integer number (2837982420).

Almost surely, 2^100000201125 is an apocalyptic number.

100000201125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100000201125 is a deficient number, since it is larger than the sum of its proper divisors (81630673755).

100000201125 is a wasteful number, since it uses less digits than its factorization.

100000201125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13815 (or 13805 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

Adding to 100000201125 its reverse (521102000001), we get a palindrome (621102201126).

The spelling of 100000201125 in words is "one hundred billion, two hundred one thousand, one hundred twenty-five".