100001092000 has 48 divisors (see below), whose sum is σ = 245702692872. Its totient is φ = 40000435200.

The previous prime is 100001091997. The next prime is 100001092003. The reversal of 100001092000 is 290100001.

It is an interprime number because it is at equal distance from previous prime (100001091997) and next prime (100001092003).

It can be written as a sum of positive squares in 4 ways, for example, as 9069895696 + 90931196304 = 95236^2 + 301548^2 .

It is not an unprimeable number, because it can be changed into a prime (100001092003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12496137 + ... + 12504136.

Almost surely, 2^100001092000 is an apocalyptic number.

100001092000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001092000 is an abundant number, since it is smaller than the sum of its proper divisors (145701600872).

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

100001092000 is an equidigital number, since it uses as much as digits as its factorization.

100001092000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25000298 (or 25000280 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100001092000 its reverse (290100001), we get a palindrome (100291192001).

The spelling of 100001092000 in words is "one hundred billion, one million, ninety-two thousand".