1002020112001 has 8 divisors (see below), whose sum is σ = 1007512813800. Its totient is φ = 996540504960.

The previous prime is 1002020111971. The next prime is 1002020112017. The reversal of 1002020112001 is 1002110202001.

It can be written as a sum of positive squares in 4 ways, for example, as 1570061376 + 1000450050625 = 39624^2 + 1000225^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1002020112001 - 2⁵ = 1002020111969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002020112031) 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 7 ways as a sum of consecutive naturals, for example, 3120210 + ... + 3426331.

It is an arithmetic number, because the mean of its divisors is an integer number (125939101725).

Almost surely, 2^{1002020112001} is an apocalyptic number.

It is an amenable number.

1002020112001 is a deficient number, since it is larger than the sum of its proper divisors (5492701799).

1002020112001 is an equidigital number, since it uses as much as digits as its factorization.

1002020112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6547379.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1002020112001 its reverse (1002110202001), we get a palindrome (2004130314002).

The spelling of 1002020112001 in words is "one trillion, two billion, twenty million, one hundred twelve thousand, one".