1100100002000 has 80 divisors (see below), whose sum is σ = 2661835472400. Its totient is φ = 439743283200.

The previous prime is 1100100001981. The next prime is 1100100002017. The reversal of 1100100002000 is 2000010011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 276638129296 + 823461872704 = 525964^2 + 907448^2 .

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2793296 + ... + 3162704.

It is an arithmetic number, because the mean of its divisors is an integer number (33272943405).

Almost surely, 2^{1100100002000} is an apocalyptic number.

1100100002000 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 1100100002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330917736200).

1100100002000 is an abundant number, since it is smaller than the sum of its proper divisors (1561735470400).

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

1100100002000 is a wasteful number, since it uses less digits than its factorization.

1100100002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370921 (or 370905 counting only the distinct ones).

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

Adding to 1100100002000 its reverse (2000010011), we get a palindrome (1102100012011).

The spelling of 1100100002000 in words is "one trillion, one hundred billion, one hundred million, two thousand".