1001152100 has 144 divisors (see below), whose sum is σ = 2509995600. Its totient is φ = 343326720.

The previous prime is 1001152093. The next prime is 1001152109. The reversal of 1001152100 is 12511001.

It can be written as a sum of positive squares in 24 ways, for example, as 682672384 + 318479716 = 26128^2 + 17846^2 .

It is not an unprimeable number, because it can be changed into a prime (1001152109) 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, 1966646 + ... + 1967154.

It is an arithmetic number, because the mean of its divisors is an integer number (17430525).

Almost surely, 2^1001152100 is an apocalyptic number.

1001152100 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 1001152100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254997800).

1001152100 is an abundant number, since it is smaller than the sum of its proper divisors (1508843500).

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

1001152100 is a wasteful number, since it uses less digits than its factorization.

1001152100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 11.

The square root of 1001152100 is about 31640.9876584155. The cubic root of 1001152100 is about 1000.3838859461.

Adding to 1001152100 its reverse (12511001), we get a palindrome (1013663101).

The spelling of 1001152100 in words is "one billion, one million, one hundred fifty-two thousand, one hundred".