10122131012 has 48 divisors (see below), whose sum is σ = 20655637632. Its totient is φ = 4250138880.

The previous prime is 10122130981. The next prime is 10122131023. The reversal of 10122131012 is 21013122101.

10122131012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

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, 1124843 + ... + 1133805.

It is an arithmetic number, because the mean of its divisors is an integer number (430325784).

Almost surely, 2^10122131012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122131012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10327818816).

10122131012 is an abundant number, since it is smaller than the sum of its proper divisors (10533506620).

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

10122131012 is a wasteful number, since it uses less digits than its factorization.

10122131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9788 (or 9786 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10122131012 its reverse (21013122101), we get a palindrome (31135253113).

The spelling of 10122131012 in words is "ten billion, one hundred twenty-two million, one hundred thirty-one thousand, twelve".