1010011001000 has 64 divisors (see below), whose sum is σ = 2363577587280. Its totient is φ = 403978444800.

The previous prime is 1010011000939. The next prime is 1010011001029. The reversal of 1010011001000 is 1001100101.

It can be written as a sum of positive squares in 8 ways, for example, as 906371236 + 1009104629764 = 30106^2 + 1004542^2 .

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

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, 25893512 + ... + 25932488.

Almost surely, 2^{1010011001000} is an apocalyptic number.

1010011001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010011001000 is an abundant number, since it is smaller than the sum of its proper divisors (1353566586280).

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

1010011001000 is a wasteful number, since it uses less digits than its factorization.

1010011001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64911 (or 64897 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1010011001000 its reverse (1001100101), we get a palindrome (1011012101101).

The spelling of 1010011001000 in words is "one trillion, ten billion, eleven million, one thousand".