110010001200121 has 16 divisors (see below), whose sum is σ = 120924020847168. Its totient is φ = 99251043480000.

The previous prime is 110010001200083. The next prime is 110010001200133. The reversal of 110010001200121 is 121002100010011.

It is a cyclic number.

It is not a de Polignac number, because 110010001200121 - 2³⁵ = 109975641461753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110010001200098 and 110010001200107.

It is not an unprimeable number, because it can be changed into a prime (110010001200521) 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, 71156250 + ... + 72685843.

It is an arithmetic number, because the mean of its divisors is an integer number (7557751302948).

Almost surely, 2^{110010001200121} is an apocalyptic number.

110010001200121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110010001200121 is a deficient number, since it is larger than the sum of its proper divisors (10914019647047).

110010001200121 is a wasteful number, since it uses less digits than its factorization.

110010001200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143842632.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110010001200121 its reverse (121002100010011), we get a palindrome (231012101210132).

The spelling of 110010001200121 in words is "one hundred ten trillion, ten billion, one million, two hundred thousand, one hundred twenty-one".