10102121 has 8 divisors (see below), whose sum is σ = 10557000. Its totient is φ = 9654400.

The previous prime is 10102117. The next prime is 10102139. The reversal of 10102121 is 12120101.

It can be written as a sum of positive squares in 4 ways, for example, as 1132096 + 8970025 = 1064^2 + 2995^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10102121 - 2² = 10102117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10102099 and 10102108.

It is not an unprimeable number, because it can be changed into a prime (10102151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1205 + ... + 4653.

It is an arithmetic number, because the mean of its divisors is an integer number (1319625).

Almost surely, 2^10102121 is an apocalyptic number.

It is an amenable number.

10102121 is a deficient number, since it is larger than the sum of its proper divisors (454879).

10102121 is a wasteful number, since it uses less digits than its factorization.

10102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 10102121 is about 3178.3833941172. The cubic root of 10102121 is about 216.1743633818.

Adding to 10102121 its reverse (12120101), we get a palindrome (22222222).

The spelling of 10102121 in words is "ten million, one hundred two thousand, one hundred twenty-one".