1001011000000 has 784 divisors, whose sum is σ = 2951045351136. Its totient is φ = 332800000000.

The previous prime is 1001010999959. The next prime is 1001011000013. The reversal of 1001011000000 is 1101001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9910999950 + ... + 9911000050.

Almost surely, 2^{1001011000000} is an apocalyptic number.

1001011000000 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 1001011000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475522675568).

1001011000000 is an abundant number, since it is smaller than the sum of its proper divisors (1950034351136).

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

1001011000000 is an equidigital number, since it uses as much as digits as its factorization.

1001011000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 189 counting only the distinct ones).

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

Adding to 1001011000000 its reverse (1101001), we get a palindrome (1001012101001).

The spelling of 1001011000000 in words is "one trillion, one billion, eleven million", and thus it is an aban number and an uban number.