1001132100 has 54 divisors (see below), whose sum is σ = 3137995770. Its totient is φ = 266968320.

The previous prime is 1001132089. The next prime is 1001132107. The reversal of 1001132100 is 12311001.

It can be written as a sum of positive squares in 3 ways, for example, as 26193924 + 974938176 = 5118^2 + 31224^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001132107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 555285 + ... + 557084.

Almost surely, 2^1001132100 is an apocalyptic number.

1001132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001132100 is an abundant number, since it is smaller than the sum of its proper divisors (2136863670).

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

1001132100 is a wasteful number, since it uses less digits than its factorization.

1001132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112389 (or 1112379 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1001132100 is about 31640.6716110768. The cubic root of 1001132100 is about 1000.3772243506.

Adding to 1001132100 its reverse (12311001), we get a palindrome (1013443101).

The spelling of 1001132100 in words is "one billion, one million, one hundred thirty-two thousand, one hundred".