1001146100 has 72 divisors (see below), whose sum is σ = 2307560640. Its totient is φ = 375943680.

The previous prime is 1001146073. The next prime is 1001146103. The reversal of 1001146100 is 16411001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001146103) 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 23 ways as a sum of consecutive naturals, for example, 212369 + ... + 217031.

Almost surely, 2^1001146100 is an apocalyptic number.

1001146100 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 1001146100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153780320).

1001146100 is an abundant number, since it is smaller than the sum of its proper divisors (1306414540).

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

1001146100 is a wasteful number, since it uses less digits than its factorization.

1001146100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4809 (or 4802 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1001146100 is about 31640.8928445453. The cubic root of 1001146100 is about 1000.3818874767.

Adding to 1001146100 its reverse (16411001), we get a palindrome (1017557101).

The spelling of 1001146100 in words is "one billion, one million, one hundred forty-six thousand, one hundred".