110012011212121 has 8 divisors (see below), whose sum is σ = 112087870492680. Its totient is φ = 107936157892992.

The previous prime is 110012011212067. The next prime is 110012011212193. The reversal of 110012011212121 is 121212110210011.

It can be written as a sum of positive squares in 4 ways, for example, as 553440772096 + 109458570440025 = 743936^2 + 10462245^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110012011212121 - 2¹⁵ = 110012011179353 is a prime.

It is a super-2 number, since 2×110012011212121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110012011212095 and 110012011212104.

It is not an unprimeable number, because it can be changed into a prime (110012011210121) 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 7 ways as a sum of consecutive naturals, for example, 57842935 + ... + 59714563.

It is an arithmetic number, because the mean of its divisors is an integer number (14010983811585).

Almost surely, 2^{110012011212121} is an apocalyptic number.

It is an amenable number.

110012011212121 is a deficient number, since it is larger than the sum of its proper divisors (2075859280559).

110012011212121 is a wasteful number, since it uses less digits than its factorization.

110012011212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980715.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 110012011212121 its reverse (121212110210011), we get a palindrome (231224121422132).

The spelling of 110012011212121 in words is "one hundred ten trillion, twelve billion, eleven million, two hundred twelve thousand, one hundred twenty-one".