1001112100 has 18 divisors (see below), whose sum is σ = 2172413474. Its totient is φ = 400444800.

The previous prime is 1001112097. The next prime is 1001112107. The reversal of 1001112100 is 12111001.

1001112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 355850496 + 645261604 = 18864^2 + 25402^2 .

It is not an unprimeable number, because it can be changed into a prime (1001112107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5005461 + ... + 5005660.

Almost surely, 2^1001112100 is an apocalyptic number.

1001112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001112100 is an abundant number, since it is smaller than the sum of its proper divisors (1171301374).

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

1001112100 is a wasteful number, since it uses less digits than its factorization.

1001112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10011135 (or 10011128 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 1001112100 is about 31640.3555605812. The cubic root of 1001112100 is about 1000.3705626663.

Adding to 1001112100 its reverse (12111001), we get a palindrome (1013223101).

The spelling of 1001112100 in words is "one billion, one million, one hundred twelve thousand, one hundred".