1001100001000 has 128 divisors (see below), whose sum is σ = 2666646178560. Its totient is φ = 348208608000.

The previous prime is 1001100000983. The next prime is 1001100001009. The reversal of 1001100001000 is 1000011001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (1001100001009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1725459 + ... + 2231458.

It is an arithmetic number, because the mean of its divisors is an integer number (20833173270).

Almost surely, 2^{1001100001000} is an apocalyptic number.

1001100001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001100001000 is an abundant number, since it is smaller than the sum of its proper divisors (1665546177560).

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

1001100001000 is a wasteful number, since it uses less digits than its factorization.

1001100001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956972 (or 3956958 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 1001100001000 its reverse (1000011001), we get a palindrome (1002100012001).

The spelling of 1001100001000 in words is "one trillion, one billion, one hundred million, one thousand".