10312205122141 has 16 divisors (see below), whose sum is σ = 11388458109168. Its totient is φ = 9276877209600.

The previous prime is 10312205122139. The next prime is 10312205122147. The reversal of 10312205122141 is 14122150221301.

It can be written as a sum of positive squares in 8 ways, for example, as 3097899207225 + 7214305914916 = 1760085^2 + 2685946^2 .

It is not a de Polignac number, because 10312205122141 - 2¹ = 10312205122139 is a prime.

It is a super-2 number, since 2×10312205122141² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312205122147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9824740 + ... + 10823581.

It is an arithmetic number, because the mean of its divisors is an integer number (711778631823).

Almost surely, 2^{10312205122141} is an apocalyptic number.

It is an amenable number.

10312205122141 is a deficient number, since it is larger than the sum of its proper divisors (1076252987027).

10312205122141 is a wasteful number, since it uses less digits than its factorization.

10312205122141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20649312.

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 10312205122141 its reverse (14122150221301), we get a palindrome (24434355343442).

The spelling of 10312205122141 in words is "ten trillion, three hundred twelve billion, two hundred five million, one hundred twenty-two thousand, one hundred forty-one".