101101101097 has 2 divisors, whose sum is σ = 101101101098. Its totient is φ = 101101101096.

The previous prime is 101101101053. The next prime is 101101101113. The reversal of 101101101097 is 790101101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100811965081 + 289136016 = 317509^2 + 17004^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101101097 - 2¹¹ = 101101099049 is a prime.

It is not a weakly prime, because it can be changed into another prime (101101101007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550550548 + 50550550549.

It is an arithmetic number, because the mean of its divisors is an integer number (50550550549).

Almost surely, 2^101101101097 is an apocalyptic number.

It is an amenable number.

101101101097 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101101097 is an equidigital number, since it uses as much as digits as its factorization.

101101101097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63, while the sum is 22.

Adding to 101101101097 its reverse (790101101101), we get a palindrome (891202202198).

The spelling of 101101101097 in words is "one hundred one billion, one hundred one million, one hundred one thousand, ninety-seven".