1020001002011 has 2 divisors, whose sum is σ = 1020001002012. Its totient is φ = 1020001002010.

The previous prime is 1020001001969. The next prime is 1020001002079. The reversal of 1020001002011 is 1102001000201.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1020001002011 - 2¹⁸ = 1020000739867 is a prime.

It is a super-4 number, since 4×1020001002011⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a self number, because there is not a number n which added to its sum of digits gives 1020001002011.

It is not a weakly prime, because it can be changed into another prime (1020001002211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510000501005 + 510000501006.

It is an arithmetic number, because the mean of its divisors is an integer number (510000501006).

Almost surely, 2^{1020001002011} is an apocalyptic number.

1020001002011 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020001002011 is an equidigital number, since it uses as much as digits as its factorization.

1020001002011 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1020001002011 its reverse (1102001000201), we get a palindrome (2122002002212).

It can be divided in two parts, 102000 and 1002011, that added together give a palindrome (1104011).

The spelling of 1020001002011 in words is "one trillion, twenty billion, one million, two thousand, eleven".