110216696121 has 27 divisors (see below), whose sum is σ = 185205755631. Its totient is φ = 62976985344.

The previous prime is 110216696111. The next prime is 110216696147. The reversal of 110216696121 is 121696612011.

The square root of 110216696121 is 331989.

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

110216696121 is a `hidden beast` number, since 1 + 10 + 21 + 6 + 6 + 9 + 612 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3992849721 + 106223846400 = 63189^2 + 325920^2 .

It is not a de Polignac number, because 110216696121 - 2¹⁵ = 110216663353 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (110216696111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6963865 + ... + 6979673.

Almost surely, 2^110216696121 is an apocalyptic number.

110216696121 is the 331989-th square number.

110216696121 is the 165995-th centered octagonal number.

It is an amenable number.

110216696121 is a deficient number, since it is larger than the sum of its proper divisors (74989059510).

110216696121 is an frugal number, since it uses more digits than its factorization.

110216696121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31638 (or 15819 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

Multiplying 110216696121 by its sum of digits (36), we get a square (3967801060356 = 1991934²).

The spelling of 110216696121 in words is "one hundred ten billion, two hundred sixteen million, six hundred ninety-six thousand, one hundred twenty-one".