1210110011121 has 16 divisors (see below), whose sum is σ = 1761583002048. Its totient is φ = 732807096000.

The previous prime is 1210110011087. The next prime is 1210110011147. The reversal of 1210110011121 is 1211100110121.

It is not a de Polignac number, because 1210110011121 - 2¹⁰ = 1210110010097 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1210110011097 and 1210110011106.

It is not an unprimeable number, because it can be changed into a prime (1210110011171) 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, 14781330 + ... + 14862971.

It is an arithmetic number, because the mean of its divisors is an integer number (110098937628).

Almost surely, 2^{1210110011121} is an apocalyptic number.

1210110011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1210110011121 is a deficient number, since it is larger than the sum of its proper divisors (551472990927).

1210110011121 is a wasteful number, since it uses less digits than its factorization.

1210110011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29645552.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1210110011121 its reverse (1211100110121), we get a palindrome (2421210121242).

The spelling of 1210110011121 in words is "one trillion, two hundred ten billion, one hundred ten million, eleven thousand, one hundred twenty-one".