10001006010 has 40 divisors (see below), whose sum is σ = 26891596116. Its totient is φ = 2666934720.

The previous prime is 10001005997. The next prime is 10001006011. The reversal of 10001006010 is 1060010001.

It can be written as a sum of positive squares in 2 ways, for example, as 9140698449 + 860307561 = 95607^2 + 29331^2 .

It is a super-2 number, since 2×10001006010² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001005983 and 10001006001.

It is not an unprimeable number, because it can be changed into a prime (10001006011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6172651 + ... + 6174270.

Almost surely, 2^10001006010 is an apocalyptic number.

10001006010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001006010 is an abundant number, since it is smaller than the sum of its proper divisors (16890590106).

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

10001006010 is a wasteful number, since it uses less digits than its factorization.

10001006010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12346940 (or 12346931 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10001006010 its reverse (1060010001), we get a palindrome (11061016011).

The spelling of 10001006010 in words is "ten billion, one million, six thousand, ten".