1000101012073 has 2 divisors, whose sum is σ = 1000101012074. Its totient is φ = 1000101012072.

The previous prime is 1000101011957. The next prime is 1000101012103. The reversal of 1000101012073 is 3702101010001.

1000101012073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 996067873024 + 4033139049 = 998032^2 + 63507^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000101012073 - 2²¹ = 1000098914921 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000101052073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050506036 + 500050506037.

It is an arithmetic number, because the mean of its divisors is an integer number (500050506037).

Almost surely, 2^{1000101012073} is an apocalyptic number.

It is an amenable number.

1000101012073 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000101012073 is an equidigital number, since it uses as much as digits as its factorization.

1000101012073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42, while the sum is 16.

Adding to 1000101012073 its reverse (3702101010001), we get a palindrome (4702202022074).

The spelling of 1000101012073 in words is "one trillion, one hundred one million, twelve thousand, seventy-three".