100418216350321 has 3 divisors (see below), whose sum is σ = 100418226371211. Its totient is φ = 100418206329432.

The previous prime is 100418216350301. The next prime is 100418216350369. The reversal of 100418216350321 is 123053612814001.

The square root of 100418216350321 is 10020889.

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., 19150154935921 + 81268061414400 = 4376089^2 + 9014880^2 .

It is not a de Polignac number, because 100418216350321 - 2⁹ = 100418216349809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100418216350301) 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, 5010445 + ... + 15031333.

It is an arithmetic number, because the mean of its divisors is an integer number (33472742123737).

Almost surely, 2^{100418216350321} is an apocalyptic number.

100418216350321 is the 10020889-th square number.

100418216350321 is the 5010445-th centered octagonal number.

It is an amenable number.

100418216350321 is a deficient number, since it is larger than the sum of its proper divisors (10020890).

100418216350321 is an frugal number, since it uses more digits than its factorization.

100418216350321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20041778 (or 10020889 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 100418216350321 in words is "one hundred trillion, four hundred eighteen billion, two hundred sixteen million, three hundred fifty thousand, three hundred twenty-one".