10112313121 has 8 divisors (see below), whose sum is σ = 10183478760. Its totient is φ = 10041293952.

The previous prime is 10112313067. The next prime is 10112313143. The reversal of 10112313121 is 12131321101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5113823121 + 4998490000 = 71511^2 + 70700^2 .

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 10112313121 - 2²³ = 10103924513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10112313095 and 10112313104.

It is not an unprimeable number, because it can be changed into a prime (10112313221) 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, 103831 + ... + 176083.

It is an arithmetic number, because the mean of its divisors is an integer number (1272934845).

Almost surely, 2^10112313121 is an apocalyptic number.

It is an amenable number.

10112313121 is a deficient number, since it is larger than the sum of its proper divisors (71165639).

10112313121 is an equidigital number, since it uses as much as digits as its factorization.

10112313121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73235.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10112313121 its reverse (12131321101), we get a palindrome (22243634222).

It can be divided in two parts, 101123 and 13121, that added together give a square (114244 = 338²).

The spelling of 10112313121 in words is "ten billion, one hundred twelve million, three hundred thirteen thousand, one hundred twenty-one".