101110000997 has 2 divisors, whose sum is σ = 101110000998. Its totient is φ = 101110000996.

The previous prime is 101110000949. The next prime is 101110001009. The reversal of 101110000997 is 799000011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55190225476 + 45919775521 = 234926^2 + 214289^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110000997 - 2¹⁰ = 101109999973 is a prime.

It is a super-2 number, since 2×101110000997² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110000907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555000498 + 50555000499.

It is an arithmetic number, because the mean of its divisors is an integer number (50555000499).

Almost surely, 2^101110000997 is an apocalyptic number.

It is an amenable number.

101110000997 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110000997 is an equidigital number, since it uses as much as digits as its factorization.

101110000997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 29.

The spelling of 101110000997 in words is "one hundred one billion, one hundred ten million, nine hundred ninety-seven", and thus it is an aban number.