1001221310000 has 100 divisors (see below), whose sum is σ = 2425811460600. Its totient is φ = 400198656000.

The previous prime is 1001221309993. The next prime is 1001221310017. The reversal of 1001221310000 is 131221001.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×1001221310000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14054471 + ... + 14125529.

It is an arithmetic number, because the mean of its divisors is an integer number (24258114606).

Almost surely, 2^{1001221310000} is an apocalyptic number.

1001221310000 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 1001221310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212905730300).

1001221310000 is an abundant number, since it is smaller than the sum of its proper divisors (1424590150600).

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

1001221310000 is an equidigital number, since it uses as much as digits as its factorization.

1001221310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72496 (or 72475 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1001221310000 its reverse (131221001), we get a palindrome (1001352531001).

The spelling of 1001221310000 in words is "one trillion, one billion, two hundred twenty-one million, three hundred ten thousand".