101000001111017 has 2 divisors, whose sum is σ = 101000001111018. Its totient is φ = 101000001111016.

The previous prime is 101000001111007. The next prime is 101000001111131. The reversal of 101000001111017 is 710111100000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90112568359696 + 10887432751321 = 9492764^2 + 3299611^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000001111017 - 2¹⁴ = 101000001094633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101000001110992 and 101000001111010.

It is not a weakly prime, because it can be changed into another prime (101000001111007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500000555508 + 50500000555509.

It is an arithmetic number, because the mean of its divisors is an integer number (50500000555509).

Almost surely, 2^{101000001111017} is an apocalyptic number.

It is an amenable number.

101000001111017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000001111017 is an equidigital number, since it uses as much as digits as its factorization.

101000001111017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 101000001111017 its reverse (710111100000101), we get a palindrome (811111101111118).

The spelling of 101000001111017 in words is "one hundred one trillion, one million, one hundred eleven thousand, seventeen".