102112012121121 has 12 divisors (see below), whose sum is σ = 149152377256740. Its totient is φ = 67309790760960.

The previous prime is 102112012121051. The next prime is 102112012121167. The reversal of 102112012121121 is 121121210211201.

It is a happy number.

102112012121121 is a `hidden beast` number, since 1 + 0 + 211 + 201 + 21 + 211 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6921529574400 + 95190482546721 = 2630880^2 + 9756561^2 .

It is not a de Polignac number, because 102112012121121 - 2⁹ = 102112012120609 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102112012121094 and 102112012121103.

It is not an unprimeable number, because it can be changed into a prime (102112012126121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63740331360 + ... + 63740332961.

It is an arithmetic number, because the mean of its divisors is an integer number (12429364771395).

Almost surely, 2^{102112012121121} is an apocalyptic number.

It is an amenable number.

102112012121121 is a deficient number, since it is larger than the sum of its proper divisors (47040365135619).

102112012121121 is a wasteful number, since it uses less digits than its factorization.

102112012121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127480664416 (or 127480664413 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102112012121121 its reverse (121121210211201), we get a palindrome (223233222332322).

The spelling of 102112012121121 in words is "one hundred two trillion, one hundred twelve billion, twelve million, one hundred twenty-one thousand, one hundred twenty-one".