101001110000107 has 2 divisors, whose sum is σ = 101001110000108. Its totient is φ = 101001110000106.

The previous prime is 101001110000083. The next prime is 101001110000149. The reversal of 101001110000107 is 701000011100101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101001110000107 - 2¹¹ = 101001109998059 is a prime.

It is a super-2 number, since 2×101001110000107² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101001110000177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500555000053 + 50500555000054.

It is an arithmetic number, because the mean of its divisors is an integer number (50500555000054).

Almost surely, 2^{101001110000107} is an apocalyptic number.

101001110000107 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001110000107 is an equidigital number, since it uses as much as digits as its factorization.

101001110000107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 13.

Adding to 101001110000107 its reverse (701000011100101), we get a palindrome (802001121100208).

The spelling of 101001110000107 in words is "one hundred one trillion, one billion, one hundred ten million, one hundred seven", and thus it is an aban number.