10000123122 has 64 divisors (see below), whose sum is σ = 22568232960. Its totient is φ = 2927644800.

The previous prime is 10000123121. The next prime is 10000123153. The reversal of 10000123122 is 22132100001.

It is a junction number, because it is equal to n+sod(n) for n = 10000123098 and 10000123107.

It is not an unprimeable number, because it can be changed into a prime (10000123121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260779 + ... + 296657.

It is an arithmetic number, because the mean of its divisors is an integer number (352628640).

Almost surely, 2^10000123122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000123122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11284116480).

10000123122 is an abundant number, since it is smaller than the sum of its proper divisors (12568109838).

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

10000123122 is a wasteful number, since it uses less digits than its factorization.

10000123122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36039.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10000123122 its reverse (22132100001), we get a palindrome (32132223123).

The spelling of 10000123122 in words is "ten billion, one hundred twenty-three thousand, one hundred twenty-two".