10205531123 has 8 divisors (see below), whose sum is σ = 10945357200. Its totient is φ = 9485974368.

The previous prime is 10205531101. The next prime is 10205531153. The reversal of 10205531123 is 32113550201.

It is a happy number.

10205531123 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 10205531123 - 2²² = 10201336819 is a prime.

It is a super-2 number, since 2×10205531123² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10205531153) 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, 5066288 + ... + 5068301.

It is an arithmetic number, because the mean of its divisors is an integer number (1368169650).

Almost surely, 2^10205531123 is an apocalyptic number.

10205531123 is a deficient number, since it is larger than the sum of its proper divisors (739826077).

10205531123 is a wasteful number, since it uses less digits than its factorization.

10205531123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10134661.

The product of its (nonzero) digits is 900, while the sum is 23.

The spelling of 10205531123 in words is "ten billion, two hundred five million, five hundred thirty-one thousand, one hundred twenty-three".