110000121212101 has 16 divisors (see below), whose sum is σ = 113391165042288. Its totient is φ = 106643418534400.

The previous prime is 110000121212099. The next prime is 110000121212147. The reversal of 110000121212101 is 101212121000011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 50660599875876 + 59339521336225 = 7117626^2 + 7703215^2 .

It is a cyclic number.

It is not a de Polignac number, because 110000121212101 - 2¹ = 110000121212099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110000121219101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10281831 + ... + 18047611.

It is an arithmetic number, because the mean of its divisors is an integer number (7086947815143).

Almost surely, 2^{110000121212101} is an apocalyptic number.

It is an amenable number.

110000121212101 is a deficient number, since it is larger than the sum of its proper divisors (3391043830187).

110000121212101 is a wasteful number, since it uses less digits than its factorization.

110000121212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7767992.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 110000121212101 its reverse (101212121000011), we get a palindrome (211212242212112).

The spelling of 110000121212101 in words is "one hundred ten trillion, one hundred twenty-one million, two hundred twelve thousand, one hundred one".