10123112002417 has 2 divisors, whose sum is σ = 10123112002418. Its totient is φ = 10123112002416.

The previous prime is 10123112002411. The next prime is 10123112002427. The reversal of 10123112002417 is 71420021132101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7704088589376 + 2419023413041 = 2775624^2 + 1555321^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10123112002417 is a prime.

It is a super-2 number, since 2×10123112002417² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10123112002391 and 10123112002400.

It is not a weakly prime, because it can be changed into another prime (10123112002411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061556001208 + 5061556001209.

It is an arithmetic number, because the mean of its divisors is an integer number (5061556001209).

Almost surely, 2^{10123112002417} is an apocalyptic number.

It is an amenable number.

10123112002417 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123112002417 is an equidigital number, since it uses as much as digits as its factorization.

10123112002417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 25.

Adding to 10123112002417 its reverse (71420021132101), we get a palindrome (81543133134518).

The spelling of 10123112002417 in words is "ten trillion, one hundred twenty-three billion, one hundred twelve million, two thousand, four hundred seventeen".