110100121121121 has 16 divisors (see below), whose sum is σ = 148569492751680. Its totient is φ = 72515422912320.

The previous prime is 110100121121117. The next prime is 110100121121147. The reversal of 110100121121121 is 121121121001011.

It is not a de Polignac number, because 110100121121121 - 2² = 110100121121117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110100121121121.

It is not an unprimeable number, because it can be changed into a prime (110100121141121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64459995 + ... + 66145983.

It is an arithmetic number, because the mean of its divisors is an integer number (9285593296980).

Almost surely, 2^{110100121121121} is an apocalyptic number.

It is an amenable number.

110100121121121 is a deficient number, since it is larger than the sum of its proper divisors (38469371630559).

110100121121121 is a wasteful number, since it uses less digits than its factorization.

110100121121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948336.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 110100121121121 its reverse (121121121001011), we get a palindrome (231221242122132).

The spelling of 110100121121121 in words is "one hundred ten trillion, one hundred billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty-one".