101220002001017 has 2 divisors, whose sum is σ = 101220002001018. Its totient is φ = 101220002001016.

The previous prime is 101220002000989. The next prime is 101220002001031. The reversal of 101220002001017 is 710100200022101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82647444652096 + 18572557348921 = 9091064^2 + 4309589^2 .

It is a cyclic number.

It is not a de Polignac number, because 101220002001017 - 2¹² = 101220001996921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101220002000986 and 101220002001004.

It is not a weakly prime, because it can be changed into another prime (101220002001077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610001000508 + 50610001000509.

It is an arithmetic number, because the mean of its divisors is an integer number (50610001000509).

Almost surely, 2^{101220002001017} is an apocalyptic number.

It is an amenable number.

101220002001017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101220002001017 is an equidigital number, since it uses as much as digits as its factorization.

101220002001017 is an odious number, because the sum of its binary digits is odd.

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

Adding to 101220002001017 its reverse (710100200022101), we get a palindrome (811320202023118).

The spelling of 101220002001017 in words is "one hundred one trillion, two hundred twenty billion, two million, one thousand, seventeen".