10011112012008 has 96 divisors (see below), whose sum is σ = 27147927909960. Its totient is φ = 3332792770560.

The previous prime is 10011112012007. The next prime is 10011112012061. The reversal of 10011112012008 is 80021021111001.

It can be written as a sum of positive squares in 4 ways, for example, as 9501547321764 + 509564690244 = 3082458^2 + 713838^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10011112012007) 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, 399521016 + ... + 399546072.

Almost surely, 2^{10011112012008} is an apocalyptic number.

10011112012008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10011112012008 is an abundant number, since it is smaller than the sum of its proper divisors (17136815897952).

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

10011112012008 is a wasteful number, since it uses less digits than its factorization.

10011112012008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31907 (or 31900 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 10011112012008 its reverse (80021021111001), we get a palindrome (90032133123009).

The spelling of 10011112012008 in words is "ten trillion, eleven billion, one hundred twelve million, twelve thousand, eight".