10121223123113 has 8 divisors (see below), whose sum is σ = 10337905802376. Its totient is φ = 9905492896000.

The previous prime is 10121223123101. The next prime is 10121223123197. The reversal of 10121223123113 is 31132132212101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5310798603289 + 4810424519824 = 2304517^2 + 2193268^2 .

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 10121223123113 - 2¹⁰ = 10121223122089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121223123413) 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, 238091558 + ... + 238134063.

It is an arithmetic number, because the mean of its divisors is an integer number (1292238225297).

Almost surely, 2^{10121223123113} is an apocalyptic number.

It is an amenable number.

10121223123113 is a deficient number, since it is larger than the sum of its proper divisors (216682679263).

10121223123113 is an equidigital number, since it uses as much as digits as its factorization.

10121223123113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476226075.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 10121223123113 its reverse (31132132212101), we get a palindrome (41253355335214).

The spelling of 10121223123113 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-three million, one hundred twenty-three thousand, one hundred thirteen".