1020000202001 has 8 divisors (see below), whose sum is σ = 1123744598208. Its totient is φ = 918091990000.

The previous prime is 1020000201971. The next prime is 1020000202019. The reversal of 1020000202001 is 1002020000201.

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 1020000202001 - 2¹⁰ = 1020000200977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1020000202001.

It is not an unprimeable number, because it can be changed into a prime (1020000202031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 459044885 + ... + 459047106.

It is an arithmetic number, because the mean of its divisors is an integer number (140468074776).

Almost surely, 2^{1020000202001} is an apocalyptic number.

1020000202001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1020000202001 is a deficient number, since it is larger than the sum of its proper divisors (103744396207).

1020000202001 is a wasteful number, since it uses less digits than its factorization.

1020000202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918092103.

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

Adding to 1020000202001 its reverse (1002020000201), we get a palindrome (2022020202202).

The spelling of 1020000202001 in words is "one trillion, twenty billion, two hundred two thousand, one".