10001001000900 has 288 divisors, whose sum is σ = 35669270576128. Its totient is φ = 2106815961600.

The previous prime is 10001001000883. The next prime is 10001001000911. The reversal of 10001001000900 is 900010010001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17269035 + ... + 17838765.

Almost surely, 2^{10001001000900} is an apocalyptic number.

10001001000900 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 10001001000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17834635288064).

10001001000900 is an abundant number, since it is smaller than the sum of its proper divisors (25668269575228).

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

10001001000900 is a wasteful number, since it uses less digits than its factorization.

10001001000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570411 (or 570404 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 10001001000900 its reverse (900010010001), we get a palindrome (10901011010901).

It can be divided in two parts, 1000100 and 1000900, that added together give a triangular number (2001000 = T₂₀₀₀).

The spelling of 10001001000900 in words is "ten trillion, one billion, one million, nine hundred", and thus it is an aban number.