100205221401344 has 18 divisors (see below), whose sum is σ = 200019016157100. Its totient is φ = 50102610700544.

The previous prime is 100205221401281. The next prime is 100205221401347. The reversal of 100205221401344 is 443104122502001.

It is a happy number.

It is a super-3 number, since 3×100205221401344³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100205221401347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 195713322794 + ... + 195713323305.

Almost surely, 2^{100205221401344} is an apocalyptic number.

It is an amenable number.

100205221401344 is a deficient number, since it is larger than the sum of its proper divisors (99813794755756).

100205221401344 is an frugal number, since it uses more digits than its factorization.

100205221401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391426646115 (or 391426646101 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 100205221401344 its reverse (443104122502001), we get a palindrome (543309343903345).

The spelling of 100205221401344 in words is "one hundred trillion, two hundred five billion, two hundred twenty-one million, four hundred one thousand, three hundred forty-four".