10101111010097 has 2 divisors, whose sum is σ = 10101111010098. Its totient is φ = 10101111010096.

The previous prime is 10101111010093. The next prime is 10101111010121. The reversal of 10101111010097 is 79001011110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6873253212721 + 3227857797376 = 2621689^2 + 1796624^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101111010097 - 2² = 10101111010093 is a prime.

It is a super-3 number, since 3×10101111010097³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10101111010093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050555505048 + 5050555505049.

It is an arithmetic number, because the mean of its divisors is an integer number (5050555505049).

Almost surely, 2^{10101111010097} is an apocalyptic number.

It is an amenable number.

10101111010097 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101111010097 is an equidigital number, since it uses as much as digits as its factorization.

10101111010097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 23.

Adding to 10101111010097 its reverse (79001011110101), we get a palindrome (89102122120198).

The spelling of 10101111010097 in words is "ten trillion, one hundred one billion, one hundred eleven million, ten thousand, ninety-seven".