102210029 has 2 divisors, whose sum is σ = 102210030. Its totient is φ = 102210028.

The previous prime is 102210019. The next prime is 102210037. The reversal of 102210029 is 920012201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94381225 + 7828804 = 9715^2 + 2798^2 .

It is an emirp because it is prime and its reverse (920012201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102210029 - 2¹² = 102205933 is a prime.

It is a super-3 number, since 3×102210029³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102209989 and 102210016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102210019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105014 + 51105015.

It is an arithmetic number, because the mean of its divisors is an integer number (51105015).

Almost surely, 2^102210029 is an apocalyptic number.

It is an amenable number.

102210029 is a deficient number, since it is larger than the sum of its proper divisors (1).

102210029 is an equidigital number, since it uses as much as digits as its factorization.

102210029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 102210029 is about 10109.8975761380. The cubic root of 102210029 is about 467.5533472633.

The spelling of 102210029 in words is "one hundred two million, two hundred ten thousand, twenty-nine".