21001011010073 has 2 divisors, whose sum is σ = 21001011010074. Its totient is φ = 21001011010072.

The previous prime is 21001011010003. The next prime is 21001011010099. The reversal of 21001011010073 is 37001011010012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20991397599769 + 9613410304 = 4581637^2 + 98048^2 .

It is a cyclic number.

It is not a de Polignac number, because 21001011010073 - 2⁸ = 21001011009817 is a prime.

It is not a weakly prime, because it can be changed into another prime (21001011010003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10500505505036 + 10500505505037.

It is an arithmetic number, because the mean of its divisors is an integer number (10500505505037).

Almost surely, 2^{21001011010073} is an apocalyptic number.

It is an amenable number.

21001011010073 is a deficient number, since it is larger than the sum of its proper divisors (1).

21001011010073 is an equidigital number, since it uses as much as digits as its factorization.

21001011010073 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 17.

Adding to 21001011010073 its reverse (37001011010012), we get a palindrome (58002022020085).

The spelling of 21001011010073 in words is "twenty-one trillion, one billion, eleven million, ten thousand, seventy-three".