100254982333081 has 3 divisors (see below), whose sum is σ = 100254992345823. Its totient is φ = 100254972320340.

The previous prime is 100254982333039. The next prime is 100254982333097. The reversal of 100254982333081 is 180333289452001.

The square root of 100254982333081 is 10012741.

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., 97667581401481 + 2587400931600 = 9882691^2 + 1608540^2 .

It is not a de Polignac number, because 100254982333081 - 2⁹ = 100254982332569 is a prime.

It is a super-2 number, since 2×100254982333081² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100254982333481) 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, 5006371 + ... + 15019111.

It is an arithmetic number, because the mean of its divisors is an integer number (33418330781941).

Almost surely, 2^{100254982333081} is an apocalyptic number.

100254982333081 is the 10012741-st square number.

100254982333081 is the 5006371-st centered octagonal number.

It is an amenable number.

100254982333081 is a deficient number, since it is larger than the sum of its proper divisors (10012742).

100254982333081 is an frugal number, since it uses more digits than its factorization.

100254982333081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20025482 (or 10012741 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 100254982333081 in words is "one hundred trillion, two hundred fifty-four billion, nine hundred eighty-two million, three hundred thirty-three thousand, eighty-one".