10142200012 has 48 divisors (see below), whose sum is σ = 20973593088. Its totient is φ = 4200958080.

The previous prime is 10142200001. The next prime is 10142200021. The reversal of 10142200012 is 21000224101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10142199965 and 10142200001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81553 + ... + 164119.

It is an arithmetic number, because the mean of its divisors is an integer number (436949856).

Almost surely, 2^10142200012 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 10142200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10486796544).

10142200012 is an abundant number, since it is smaller than the sum of its proper divisors (10831393076).

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

10142200012 is a wasteful number, since it uses less digits than its factorization.

10142200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82726 (or 82724 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10142200012 its reverse (21000224101), we get a palindrome (31142424113).

The spelling of 10142200012 in words is "ten billion, one hundred forty-two million, two hundred thousand, twelve".