10123132122 has 12 divisors (see below), whose sum is σ = 21933452970. Its totient is φ = 3374377368.

The previous prime is 10123132121. The next prime is 10123132133. The reversal of 10123132122 is 22123132101.

It can be written as a sum of positive squares in only one way, i.e., 5443340841 + 4679791281 = 73779^2 + 68409^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 562396229 = 10123132122 / (1 + 0 + 1 + 2 + 3 + 1 + 3 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 10123132095 and 10123132104.

It is not an unprimeable number, because it can be changed into a prime (10123132121) 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 5 ways as a sum of consecutive naturals, for example, 281198097 + ... + 281198132.

Almost surely, 2^10123132122 is an apocalyptic number.

10123132122 is an abundant number, since it is smaller than the sum of its proper divisors (11810320848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10123132122 is a wasteful number, since it uses less digits than its factorization.

10123132122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562396237 (or 562396234 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10123132122 its reverse (22123132101), we get a palindrome (32246264223).

The spelling of 10123132122 in words is "ten billion, one hundred twenty-three million, one hundred thirty-two thousand, one hundred twenty-two".