10001112110010 has 128 divisors (see below), whose sum is σ = 30494323238400. Its totient is φ = 2284862722560.

The previous prime is 10001112109997. The next prime is 10001112110027. The reversal of 10001112110010 is 1001121110001.

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 = 10001112109974 and 10001112110001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2631630 + ... + 5189190.

It is an arithmetic number, because the mean of its divisors is an integer number (238236900300).

Almost surely, 2^{10001112110010} is an apocalyptic number.

10001112110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001112110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15247161619200).

10001112110010 is an abundant number, since it is smaller than the sum of its proper divisors (20493211128390).

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

10001112110010 is a wasteful number, since it uses less digits than its factorization.

10001112110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559653 (or 2559647 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10001112110010 its reverse (1001121110001), we get a palindrome (11002233220011).

The spelling of 10001112110010 in words is "ten trillion, one billion, one hundred twelve million, one hundred ten thousand, ten".