102121111000121 has 16 divisors (see below), whose sum is σ = 104816317625040. Its totient is φ = 99435828510720.

The previous prime is 102121111000079. The next prime is 102121111000133. The reversal of 102121111000121 is 121000111121201.

It can be written as a sum of positive squares in 8 ways, for example, as 48077734983721 + 54043376016400 = 6933811^2 + 7351420^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102121111000121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102121111000096 and 102121111000105.

It is not an unprimeable number, because it can be changed into a prime (102121111000151) 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, 42195545 + ... + 44550041.

It is an arithmetic number, because the mean of its divisors is an integer number (6551019851565).

Almost surely, 2^{102121111000121} is an apocalyptic number.

It is an amenable number.

102121111000121 is a deficient number, since it is larger than the sum of its proper divisors (2695206624919).

102121111000121 is a wasteful number, since it uses less digits than its factorization.

102121111000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356604.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102121111000121 its reverse (121000111121201), we get a palindrome (223121222121322).

The spelling of 102121111000121 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred eleven million, one hundred twenty-one", and thus it is an aban number.