1001010001220 has 24 divisors (see below), whose sum is σ = 2136582005208. Its totient is φ = 393840000000.

The previous prime is 1001010001219. The next prime is 1001010001247. The reversal of 1001010001220 is 221000101001.

It can be written as a sum of positive squares in 4 ways, for example, as 83721107716 + 917288893504 = 289346^2 + 957752^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1001010001198 and 1001010001207.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 410248781 + ... + 410251220.

It is an arithmetic number, because the mean of its divisors is an integer number (89024250217).

Almost surely, 2^{1001010001220} is an apocalyptic number.

1001010001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001010001220 is an abundant number, since it is smaller than the sum of its proper divisors (1135572003988).

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

1001010001220 is a wasteful number, since it uses less digits than its factorization.

1001010001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820500071 (or 820500069 counting only the distinct ones).

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

Adding to 1001010001220 its reverse (221000101001), we get a palindrome (1222010102221).

The spelling of 1001010001220 in words is "one trillion, one billion, ten million, one thousand, two hundred twenty".