201020100021017 has 2 divisors, whose sum is σ = 201020100021018. Its totient is φ = 201020100021016.

The previous prime is 201020100021011. The next prime is 201020100021067. The reversal of 201020100021017 is 710120001020102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 162684821001616 + 38335279019401 = 12754796^2 + 6191549^2 .

It is a cyclic number.

It is not a de Polignac number, because 201020100021017 - 2⁴² = 196622053509913 is a prime.

It is a super-2 number, since 2×201020100021017² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201020100020986 and 201020100021004.

It is not a weakly prime, because it can be changed into another prime (201020100021011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100510050010508 + 100510050010509.

It is an arithmetic number, because the mean of its divisors is an integer number (100510050010509).

Almost surely, 2^{201020100021017} is an apocalyptic number.

It is an amenable number.

201020100021017 is a deficient number, since it is larger than the sum of its proper divisors (1).

201020100021017 is an equidigital number, since it uses as much as digits as its factorization.

201020100021017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 201020100021017 its reverse (710120001020102), we get a palindrome (911140101041119).

The spelling of 201020100021017 in words is "two hundred one trillion, twenty billion, one hundred million, twenty-one thousand, seventeen".