10123122132101 has 48 divisors (see below), whose sum is σ = 11631226304880. Its totient is φ = 8792606592000.

The previous prime is 10123122132083. The next prime is 10123122132107.

10123122132101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 1441560422500 + 8681561709601 = 1200650^2 + 2946449^2 .

It is not a de Polignac number, because 10123122132101 - 2³⁴ = 10105942262917 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123122132107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 727594721 + ... + 727608633.

It is an arithmetic number, because the mean of its divisors is an integer number (242317214685).

Almost surely, 2^{10123122132101} is an apocalyptic number.

10123122132101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10123122132101 is a deficient number, since it is larger than the sum of its proper divisors (1508104172779).

10123122132101 is a wasteful number, since it uses less digits than its factorization.

10123122132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16118 (or 16107 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 1012312 and 2132101, that added together give a palindrome (3144413).

The spelling of 10123122132101 in words is "ten trillion, one hundred twenty-three billion, one hundred twenty-two million, one hundred thirty-two thousand, one hundred one".