1000120100 has 144 divisors (see below), whose sum is σ = 2701910400. Its totient is φ = 313528320.

The previous prime is 1000120091. The next prime is 1000120103. The reversal of 1000120100 is 10210001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (1000120103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384404 + ... + 386996.

Almost surely, 2^1000120100 is an apocalyptic number.

1000120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350955200).

1000120100 is an abundant number, since it is smaller than the sum of its proper divisors (1701790300).

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

1000120100 is a wasteful number, since it uses less digits than its factorization.

1000120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 1000120100 is about 31624.6754924062. The cubic root of 1000120100 is about 1000.0400317308.

Adding to 1000120100 its reverse (10210001), we get a palindrome (1010330101).

The spelling of 1000120100 in words is "one billion, one hundred twenty thousand, one hundred".