1012111201117 has 2 divisors, whose sum is σ = 1012111201118. Its totient is φ = 1012111201116.

The previous prime is 1012111201103. The next prime is 1012111201141. The reversal of 1012111201117 is 7111021112101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 929114776836 + 82996424281 = 963906^2 + 288091^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012111201117 - 2¹¹ = 1012111199069 is a prime.

It is a super-3 number, since 3×1012111201117³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012111201094 and 1012111201103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012111205117) 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, 506055600558 + 506055600559.

It is an arithmetic number, because the mean of its divisors is an integer number (506055600559).

Almost surely, 2^{1012111201117} is an apocalyptic number.

It is an amenable number.

1012111201117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012111201117 is an equidigital number, since it uses as much as digits as its factorization.

1012111201117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 19.

Adding to 1012111201117 its reverse (7111021112101), we get a palindrome (8123132313218).

The spelling of 1012111201117 in words is "one trillion, twelve billion, one hundred eleven million, two hundred one thousand, one hundred seventeen".