10135205121 has 8 divisors (see below), whose sum is σ = 13581515200. Its totient is φ = 6722849232.

The previous prime is 10135205077. The next prime is 10135205123. The reversal of 10135205121 is 12150253101.

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

It is not a de Polignac number, because 10135205121 - 2¹⁴ = 10135188737 is a prime.

It is a super-3 number, since 3×10135205121³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10135205123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8487850 + ... + 8489043.

It is an arithmetic number, because the mean of its divisors is an integer number (1697689400).

Almost surely, 2^10135205121 is an apocalyptic number.

It is an amenable number.

10135205121 is a deficient number, since it is larger than the sum of its proper divisors (3446310079).

10135205121 is a wasteful number, since it uses less digits than its factorization.

10135205121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16977095.

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 10135205121 its reverse (12150253101), we get a palindrome (22285458222).

The spelling of 10135205121 in words is "ten billion, one hundred thirty-five million, two hundred five thousand, one hundred twenty-one".