102112102121 has 4 divisors (see below), whose sum is σ = 102112839252. Its totient is φ = 102111364992.

The previous prime is 102112102117. The next prime is 102112102163. The reversal of 102112102121 is 121201211201.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 121201211201 = 7 ⋅17314458743.

It can be written as a sum of positive squares in 2 ways, for example, as 61009000000 + 41103102121 = 247000^2 + 202739^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112102121 - 2² = 102112102117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102112102096 and 102112102105.

It is not an unprimeable number, because it can be changed into a prime (102112102171) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 91196 + ... + 461021.

It is an arithmetic number, because the mean of its divisors is an integer number (25528209813).

Almost surely, 2^102112102121 is an apocalyptic number.

It is an amenable number.

102112102121 is a deficient number, since it is larger than the sum of its proper divisors (737131).

102112102121 is an equidigital number, since it uses as much as digits as its factorization.

102112102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737130.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102112102121 its reverse (121201211201), we get a palindrome (223313313322).

The spelling of 102112102121 in words is "one hundred two billion, one hundred twelve million, one hundred two thousand, one hundred twenty-one".