100201303432125 has 256 divisors, whose sum is σ = 213182752573440. Its totient is φ = 45491648716800.

The previous prime is 100201303432121. The next prime is 100201303432127. The reversal of 100201303432125 is 521234303102001.

100201303432125 is a `hidden beast` number, since 1 + 0 + 0 + 201 + 3 + 0 + 3 + 432 + 1 + 25 = 666.

It is not a de Polignac number, because 100201303432125 - 2² = 100201303432121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201303432121) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8964949537 + ... + 8964960713.

It is an arithmetic number, because the mean of its divisors is an integer number (832745127240).

Almost surely, 2^{100201303432125} is an apocalyptic number.

100201303432125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100201303432125 is an abundant number, since it is smaller than the sum of its proper divisors (112981449141315).

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

100201303432125 is a wasteful number, since it uses less digits than its factorization.

100201303432125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13782 (or 13766 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 100201303432125 its reverse (521234303102001), we get a palindrome (621435606534126).

The spelling of 100201303432125 in words is "one hundred trillion, two hundred one billion, three hundred three million, four hundred thirty-two thousand, one hundred twenty-five".