10006010112 has 108 divisors (see below), whose sum is σ = 30978545136. Its totient is φ = 2858849280.

The previous prime is 10006010051. The next prime is 10006010123. The reversal of 10006010112 is 21101060001.

It is a happy number.

It is a super-2 number, since 2×10006010112² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95314 + ... + 170577.

Almost surely, 2^10006010112 is an apocalyptic number.

10006010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10006010112 is an abundant number, since it is smaller than the sum of its proper divisors (20972535024).

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

10006010112 is an equidigital number, since it uses as much as digits as its factorization.

10006010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265924 (or 265903 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10006010112 its reverse (21101060001), we get a palindrome (31107070113).

The spelling of 10006010112 in words is "ten billion, six million, ten thousand, one hundred twelve".