110001111211121 has 16 divisors (see below), whose sum is σ = 119222470788624. Its totient is φ = 100888341675264.

The previous prime is 110001111211097. The next prime is 110001111211127. The reversal of 110001111211121 is 121112111100011.

It can be written as a sum of positive squares in 8 ways, for example, as 77476172223025 + 32524938988096 = 8802055^2 + 5703064^2 .

It is not a de Polignac number, because 110001111211121 - 2³⁰ = 110000037469297 is a prime.

It is a super-3 number, since 3×110001111211121³ (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 110001111211096 and 110001111211105.

It is not an unprimeable number, because it can be changed into a prime (110001111211127) 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 15 ways as a sum of consecutive naturals, for example, 46133195 + ... + 48458991.

It is an arithmetic number, because the mean of its divisors is an integer number (7451404424289).

Almost surely, 2^{110001111211121} is an apocalyptic number.

It is an amenable number.

110001111211121 is a deficient number, since it is larger than the sum of its proper divisors (9221359577503).

110001111211121 is a wasteful number, since it uses less digits than its factorization.

110001111211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349140.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 110001111211121 its reverse (121112111100011), we get a palindrome (231113222311132).

The spelling of 110001111211121 in words is "one hundred ten trillion, one billion, one hundred eleven million, two hundred eleven thousand, one hundred twenty-one".