101211111017 has 2 divisors, whose sum is σ = 101211111018. Its totient is φ = 101211111016.

The previous prime is 101211110989. The next prime is 101211111041. The reversal of 101211111017 is 710111112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57851794576 + 43359316441 = 240524^2 + 208229^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211111017 - 2¹² = 101211106921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101211110986 and 101211111004.

It is not a weakly prime, because it can be changed into another prime (101211131017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605555508 + 50605555509.

It is an arithmetic number, because the mean of its divisors is an integer number (50605555509).

Almost surely, 2^101211111017 is an apocalyptic number.

It is an amenable number.

101211111017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211111017 is an equidigital number, since it uses as much as digits as its factorization.

101211111017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 17.

Adding to 101211111017 its reverse (710111112101), we get a palindrome (811322223118).

The spelling of 101211111017 in words is "one hundred one billion, two hundred eleven million, one hundred eleven thousand, seventeen".