100141261236225 has 108 divisors (see below), whose sum is σ = 197557159782528. Its totient is φ = 48453633518400.

The previous prime is 100141261236223. The next prime is 100141261236257. The reversal of 100141261236225 is 522632162141001.

100141261236225 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 4 + 1 + 2 + 6 + 1 + 23 + 622 + 5 = 666.

It is not a de Polignac number, because 100141261236225 - 2¹ = 100141261236223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100141261236225.

It is not an unprimeable number, because it can be changed into a prime (100141261236223) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9482104 + ... + 17035046.

Almost surely, 2^{100141261236225} is an apocalyptic number.

100141261236225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100141261236225 is a deficient number, since it is larger than the sum of its proper divisors (97415898546303).

100141261236225 is a wasteful number, since it uses less digits than its factorization.

100141261236225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7553468 (or 7553449 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 100141261236225 in words is "one hundred trillion, one hundred forty-one billion, two hundred sixty-one million, two hundred thirty-six thousand, two hundred twenty-five".