10123013101 has 2 divisors, whose sum is σ = 10123013102. Its totient is φ = 10123013100.

The previous prime is 10123013077. The next prime is 10123013167. The reversal of 10123013101 is 10131032101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8547002500 + 1576010601 = 92450^2 + 39699^2 .

It is a cyclic number.

It is not a de Polignac number, because 10123013101 - 2⁷ = 10123012973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10123017101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061506550 + 5061506551.

It is an arithmetic number, because the mean of its divisors is an integer number (5061506551).

Almost surely, 2^10123013101 is an apocalyptic number.

It is an amenable number.

10123013101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123013101 is an equidigital number, since it uses as much as digits as its factorization.

10123013101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10123013101 its reverse (10131032101), we get a palindrome (20254045202).

The spelling of 10123013101 in words is "ten billion, one hundred twenty-three million, thirteen thousand, one hundred one".