1001012020000 has 120 divisors (see below), whose sum is σ = 2607501766716. Its totient is φ = 376851456000.

The previous prime is 1001012019979. The next prime is 1001012020009. The reversal of 1001012020000 is 202101001.

It can be written as a sum of positive squares in 10 ways, for example, as 11647589776 + 989364430224 = 107924^2 + 994668^2 .

It is not an unprimeable number, because it can be changed into a prime (1001012020009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1132077 + ... + 1812076.

Almost surely, 2^{1001012020000} is an apocalyptic number.

1001012020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001012020000 is an abundant number, since it is smaller than the sum of its proper divisors (1606489746716).

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

1001012020000 is an equidigital number, since it uses as much as digits as its factorization.

1001012020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944200 (or 2944177 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1001012020000 its reverse (202101001), we get a palindrome (1001214121001).

The spelling of 1001012020000 in words is "one trillion, one billion, twelve million, twenty thousand".