100851585315121 has 3 divisors (see below), whose sum is σ = 100851595357611. Its totient is φ = 100851575272632.

The previous prime is 100851585315113. The next prime is 100851585315133. The reversal of 100851585315121 is 121513585158001.

The square root of 100851585315121 is 10042489.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 51301248675121 + 49550336640000 = 7162489^2 + 7039200^2 .

It is not a de Polignac number, because 100851585315121 - 2³ = 100851585315113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100851585315191) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5021245 + ... + 15063733.

It is an arithmetic number, because the mean of its divisors is an integer number (33617198452537).

Almost surely, 2^{100851585315121} is an apocalyptic number.

100851585315121 is the 10042489-th square number.

100851585315121 is the 5021245-th centered octagonal number.

It is an amenable number.

100851585315121 is a deficient number, since it is larger than the sum of its proper divisors (10042490).

100851585315121 is an frugal number, since it uses more digits than its factorization.

100851585315121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20084978 (or 10042489 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 46.

The spelling of 100851585315121 in words is "one hundred trillion, eight hundred fifty-one billion, five hundred eighty-five million, three hundred fifteen thousand, one hundred twenty-one".