10123244232101 has 16 divisors (see below), whose sum is σ = 13592048201088. Its totient is φ = 7281454392000.

The previous prime is 10123244232089. The next prime is 10123244232107.

It is a happy number.

10123244232101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10123244232101 - 2³⁰ = 10122170490277 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123244232107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5056564550 + ... + 5056566551.

It is an arithmetic number, because the mean of its divisors is an integer number (849503012568).

Almost surely, 2^{10123244232101} is an apocalyptic number.

10123244232101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10123244232101 is a deficient number, since it is larger than the sum of its proper divisors (3468803968987).

10123244232101 is a wasteful number, since it uses less digits than its factorization.

10123244232101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10113131132.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 1012324 and 4232101, that added together give a palindrome (5244425).

The spelling of 10123244232101 in words is "ten trillion, one hundred twenty-three billion, two hundred forty-four million, two hundred thirty-two thousand, one hundred one".