10042010020 has 72 divisors (see below), whose sum is σ = 24658764984. Its totient is φ = 3425071104.

The previous prime is 10042009963. The next prime is 10042010023. The reversal of 10042010020 is 2001024001.

It can be written as a sum of positive squares in 4 ways, for example, as 1021569444 + 9020440576 = 31962^2 + 94976^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10042009979 and 10042010006.

It is not an unprimeable number, because it can be changed into a prime (10042010023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162594 + ... + 215686.

It is an arithmetic number, because the mean of its divisors is an integer number (342482847).

Almost surely, 2^10042010020 is an apocalyptic number.

10042010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10042010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12329382492).

10042010020 is an abundant number, since it is smaller than the sum of its proper divisors (14616754964).

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

10042010020 is a wasteful number, since it uses less digits than its factorization.

10042010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53309 (or 53300 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10042010020 its reverse (2001024001), we get a palindrome (12043034021).

The spelling of 10042010020 in words is "ten billion, forty-two million, ten thousand, twenty".