10142201124 has 108 divisors (see below), whose sum is σ = 28497481740. Its totient is φ = 3038745600.

The previous prime is 10142201107. The next prime is 10142201129. The reversal of 10142201124 is 42110224101.

It can be written as a sum of positive squares in 2 ways, for example, as 2226896100 + 7915305024 = 47190^2 + 88968^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10142201097 and 10142201106.

It is not an unprimeable number, because it can be changed into a prime (10142201129) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 374604 + ... + 400764.

Almost surely, 2^10142201124 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 10142201124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14248740870).

10142201124 is an abundant number, since it is smaller than the sum of its proper divisors (18355280616).

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

10142201124 is a wasteful number, since it uses less digits than its factorization.

10142201124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26282 (or 26266 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10142201124 its reverse (42110224101), we get a palindrome (52252425225).

The spelling of 10142201124 in words is "ten billion, one hundred forty-two million, two hundred one thousand, one hundred twenty-four".