10121657 has 8 divisors (see below), whose sum is σ = 12457536. Its totient is φ = 8008272.

The previous prime is 10121651. The next prime is 10121677. The reversal of 10121657 is 75612101.

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 10121657 - 2¹⁰ = 10120633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10121651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55523 + ... + 55704.

It is an arithmetic number, because the mean of its divisors is an integer number (1557192).

Almost surely, 2^10121657 is an apocalyptic number.

It is an amenable number.

10121657 is a deficient number, since it is larger than the sum of its proper divisors (2335879).

10121657 is a wasteful number, since it uses less digits than its factorization.

10121657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111247.

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 10121657 is about 3181.4551702012. The cubic root of 10121657 is about 216.3136233434.

Adding to 10121657 its reverse (75612101), we get a palindrome (85733758).

The spelling of 10121657 in words is "ten million, one hundred twenty-one thousand, six hundred fifty-seven".