1102011121117 has 2 divisors, whose sum is σ = 1102011121118. Its totient is φ = 1102011121116.

The previous prime is 1102011121111. The next prime is 1102011121129. The reversal of 1102011121117 is 7111211102011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 852337014841 + 249674106276 = 923221^2 + 499674^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1102011121117 is a prime.

It is a super-2 number, since 2×1102011121117² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1102011121094 and 1102011121103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1102011121111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 551005560558 + 551005560559.

It is an arithmetic number, because the mean of its divisors is an integer number (551005560559).

Almost surely, 2^{1102011121117} is an apocalyptic number.

It is an amenable number.

1102011121117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102011121117 is an equidigital number, since it uses as much as digits as its factorization.

1102011121117 is an evil number, because the sum of its binary digits is even.

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

Adding to 1102011121117 its reverse (7111211102011), we get a palindrome (8213222223128).

The spelling of 1102011121117 in words is "one trillion, one hundred two billion, eleven million, one hundred twenty-one thousand, one hundred seventeen".