1100001002000 has 80 divisors (see below), whose sum is σ = 2663757840432. Its totient is φ = 439346073600.

The previous prime is 1100001001999. The next prime is 1100001002003. The reversal of 1100001002000 is 2001000011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 309808012816 + 790192989184 = 556604^2 + 888928^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (1100001002003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 937382 + ... + 1754618.

Almost surely, 2^{1100001002000} is an apocalyptic number.

1100001002000 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 1100001002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331878920216).

1100001002000 is an abundant number, since it is smaller than the sum of its proper divisors (1563756838432).

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

1100001002000 is an equidigital number, since it uses as much as digits as its factorization.

1100001002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817933 (or 817917 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 1100001002000 its reverse (2001000011), we get a palindrome (1102002002011).

The spelling of 1100001002000 in words is "one trillion, one hundred billion, one million, two thousand".