102688121 has 2 divisors, whose sum is σ = 102688122. Its totient is φ = 102688120.

The previous prime is 102688099. The next prime is 102688139. The reversal of 102688121 is 121886201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94848121 + 7840000 = 9739^2 + 2800^2 .

It is a cyclic number.

It is not a de Polignac number, because 102688121 - 2¹⁸ = 102425977 is a prime.

It is not a weakly prime, because it can be changed into another prime (102688021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51344060 + 51344061.

It is an arithmetic number, because the mean of its divisors is an integer number (51344061).

Almost surely, 2^102688121 is an apocalyptic number.

It is an amenable number.

102688121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102688121 is an equidigital number, since it uses as much as digits as its factorization.

102688121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 102688121 is about 10133.5147407008. The cubic root of 102688121 is about 468.2812141553.

The spelling of 102688121 in words is "one hundred two million, six hundred eighty-eight thousand, one hundred twenty-one".