10355121 has 30 divisors (see below), whose sum is σ = 18001170. Its totient is φ = 5914944.

The previous prime is 10355119. The next prime is 10355143. The reversal of 10355121 is 12155301.

It can be written as a sum of positive squares in only one way, i.e., 8767521 + 1587600 = 2961^2 + 1260^2 .

It is not a de Polignac number, because 10355121 - 2¹ = 10355119 is a prime.

It is a super-3 number, since 3×10355121³ (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10355094 and 10355103.

It is not an unprimeable number, because it can be changed into a prime (10355101) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2665 + ... + 5273.

It is an arithmetic number, because the mean of its divisors is an integer number (600039).

Almost surely, 2^10355121 is an apocalyptic number.

It is an amenable number.

10355121 is a deficient number, since it is larger than the sum of its proper divisors (7646049).

10355121 is an equidigital number, since it uses as much as digits as its factorization.

10355121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 10355121 is about 3217.9373828588. The cubic root of 10355121 is about 217.9641455496.

The spelling of 10355121 in words is "ten million, three hundred fifty-five thousand, one hundred twenty-one".