1020101002073 has 2 divisors, whose sum is σ = 1020101002074. Its totient is φ = 1020101002072.

The previous prime is 1020101002013. The next prime is 1020101002103. The reversal of 1020101002073 is 3702001010201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 685059148489 + 335041853584 = 827683^2 + 578828^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020101002073 - 2¹⁶ = 1020100936537 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020101002013) 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 as a sum of consecutive naturals, namely, 510050501036 + 510050501037.

It is an arithmetic number, because the mean of its divisors is an integer number (510050501037).

Almost surely, 2^{1020101002073} is an apocalyptic number.

It is an amenable number.

1020101002073 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020101002073 is an equidigital number, since it uses as much as digits as its factorization.

1020101002073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 17.

Adding to 1020101002073 its reverse (3702001010201), we get a palindrome (4722102012274).

The spelling of 1020101002073 in words is "one trillion, twenty billion, one hundred one million, two thousand, seventy-three".