1001011020000 has 120 divisors (see below), whose sum is σ = 3283516544616. Its totient is φ = 266936256000.

The previous prime is 1001011019993. The next prime is 1001011020001. The reversal of 1001011020000 is 201101001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1001011020000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001011020001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8281759 + ... + 8401758.

Almost surely, 2^{1001011020000} is an apocalyptic number.

1001011020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001011020000 is an abundant number, since it is smaller than the sum of its proper divisors (2282505524616).

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

1001011020000 is an equidigital number, since it uses as much as digits as its factorization.

1001011020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16683550 (or 16683527 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1001011020000 its reverse (201101001), we get a palindrome (1001212121001).

The spelling of 1001011020000 in words is "one trillion, one billion, eleven million, twenty thousand".