1001011220000 has 360 divisors, whose sum is σ = 2751646875516. Its totient is φ = 357984000000.

The previous prime is 1001011219921. The next prime is 1001011220039. The reversal of 1001011220000 is 221101001.

It can be written as a sum of positive squares in 10 ways, for example, as 336766659856 + 664244560144 = 580316^2 + 815012^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1001011220000.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 147616610 + ... + 147623390.

Almost surely, 2^{1001011220000} is an apocalyptic number.

1001011220000 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 1001011220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375823437758).

1001011220000 is an abundant number, since it is smaller than the sum of its proper divisors (1750635655516).

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

1001011220000 is an equidigital number, since it uses as much as digits as its factorization.

1001011220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6894 (or 6860 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001011220000 its reverse (221101001), we get a palindrome (1001232321001).

The spelling of 1001011220000 in words is "one trillion, one billion, eleven million, two hundred twenty thousand".