100123121020325 has 24 divisors (see below), whose sum is σ = 133728545382600. Its totient is φ = 73922878632960.

The previous prime is 100123121020309. The next prime is 100123121020343. The reversal of 100123121020325 is 523020121321001.

It can be written as a sum of positive squares in 12 ways, for example, as 1053626290369 + 99069494729956 = 1026463^2 + 9953366^2 .

It is not a de Polignac number, because 100123121020325 - 2⁴ = 100123121020309 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100123121020325.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27878120 + ... + 31263969.

It is an arithmetic number, because the mean of its divisors is an integer number (5572022724275).

Almost surely, 2^{100123121020325} is an apocalyptic number.

It is an amenable number.

100123121020325 is a deficient number, since it is larger than the sum of its proper divisors (33605424362275).

100123121020325 is a wasteful number, since it uses less digits than its factorization.

100123121020325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59147321 (or 59147316 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 100123121020325 its reverse (523020121321001), we get a palindrome (623143242341326).

The spelling of 100123121020325 in words is "one hundred trillion, one hundred twenty-three billion, one hundred twenty-one million, twenty thousand, three hundred twenty-five".