110101121221221 has 96 divisors (see below), whose sum is σ = 174934364378592. Its totient is φ = 66318674780160.

The previous prime is 110101121221211. The next prime is 110101121221241. The reversal of 110101121221221 is 122122121101011.

It is a happy number.

110101121221221 is a `hidden beast` number, since 1 + 1 + 0 + 101 + 121 + 221 + 221 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 30470234400225 + 79630886820996 = 5519985^2 + 8923614^2 .

It is not a de Polignac number, because 110101121221221 - 2¹⁸ = 110101120959077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110101121221194 and 110101121221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110101121221211) 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 95 ways as a sum of consecutive naturals, for example, 4508448591 + ... + 4508473011.

It is an arithmetic number, because the mean of its divisors is an integer number (1822232962277).

Almost surely, 2^{110101121221221} is an apocalyptic number.

It is an amenable number.

110101121221221 is a deficient number, since it is larger than the sum of its proper divisors (64833243157371).

110101121221221 is a wasteful number, since it uses less digits than its factorization.

110101121221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28503 (or 28500 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 110101121221221 its reverse (122122121101011), we get a palindrome (232223242322232).

The spelling of 110101121221221 in words is "one hundred ten trillion, one hundred one billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred twenty-one".