10205322123102 has 16 divisors (see below), whose sum is σ = 20416699060992. Its totient is φ = 3400764905240.

The previous prime is 10205322123091. The next prime is 10205322123103. The reversal of 10205322123102 is 20132122350201.

It is a super-2 number, since 2×10205322123102² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205322123103) 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, 252262038 + ... + 252302489.

It is an arithmetic number, because the mean of its divisors is an integer number (1276043691312).

Almost surely, 2^{10205322123102} is an apocalyptic number.

10205322123102 is an abundant number, since it is smaller than the sum of its proper divisors (10211376937890).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10205322123102 is a wasteful number, since it uses less digits than its factorization.

10205322123102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504567903.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 10205322123102 its reverse (20132122350201), we get a palindrome (30337444473303).

The spelling of 10205322123102 in words is "ten trillion, two hundred five billion, three hundred twenty-two million, one hundred twenty-three thousand, one hundred two".