10123330130101 has 16 divisors (see below), whose sum is σ = 10895228397360. Its totient is φ = 9371052564480.

The previous prime is 10123330130083. The next prime is 10123330130149. The reversal of 10123330130101 is 10103103332101.

It can be written as a sum of positive squares in 8 ways, for example, as 1277024303025 + 8846305827076 = 1130055^2 + 2974274^2 .

It is a cyclic number.

It is not a de Polignac number, because 10123330130101 - 2¹¹ = 10123330128053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123330130161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16516045 + ... + 17118013.

It is an arithmetic number, because the mean of its divisors is an integer number (680951774835).

Almost surely, 2^{10123330130101} is an apocalyptic number.

It is an amenable number.

10123330130101 is a deficient number, since it is larger than the sum of its proper divisors (771898267259).

10123330130101 is a wasteful number, since it uses less digits than its factorization.

10123330130101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618264.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 10123330130101 its reverse (10103103332101), we get a palindrome (20226433462202).

The spelling of 10123330130101 in words is "ten trillion, one hundred twenty-three billion, three hundred thirty million, one hundred thirty thousand, one hundred one".