110121643380996 has 405 divisors, whose sum is σ = 307773958207443. Its totient is φ = 33199297260480.

The previous prime is 110121643380989. The next prime is 110121643380997. The reversal of 110121643380996 is 699083346121011.

The square root of 110121643380996 is 10493886.

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

110121643380996 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 216 + 4 + 338 + 0 + 9 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54600069742596 + 55521573638400 = 7389186^2 + 7451280^2 .

It is not an unprimeable number, because it can be changed into a prime (110121643380997) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 840623231851 + ... + 840623231981.

Almost surely, 2^{110121643380996} is an apocalyptic number.

110121643380996 is the 10493886-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110121643380996

110121643380996 is an abundant number, since it is smaller than the sum of its proper divisors (197652314826447).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110121643380996 is an frugal number, since it uses more digits than its factorization.

110121643380996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 110121643380996 in words is "one hundred ten trillion, one hundred twenty-one billion, six hundred forty-three million, three hundred eighty thousand, nine hundred ninety-six".