10201000312123 has 8 divisors (see below), whose sum is σ = 10658583538848. Its totient is φ = 9744588874944.

The previous prime is 10201000312109. The next prime is 10201000312199. The reversal of 10201000312123 is 32121300010201.

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 10201000312123 - 2²¹ = 10200998214971 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10201000312097 and 10201000312106.

It is not an unprimeable number, because it can be changed into a prime (10201000382123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292929586 + ... + 292964407.

It is an arithmetic number, because the mean of its divisors is an integer number (1332322942356).

Almost surely, 2^{10201000312123} is an apocalyptic number.

10201000312123 is a deficient number, since it is larger than the sum of its proper divisors (457583226725).

10201000312123 is an equidigital number, since it uses as much as digits as its factorization.

10201000312123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585894773.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10201000312123 its reverse (32121300010201), we get a palindrome (42322300322324).

The spelling of 10201000312123 in words is "ten trillion, two hundred one billion, three hundred twelve thousand, one hundred twenty-three".