101101011000107 has 2 divisors, whose sum is σ = 101101011000108. Its totient is φ = 101101011000106.

The previous prime is 101101011000037. The next prime is 101101011000151. The reversal of 101101011000107 is 701000110101101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101101011000107 - 2¹⁴ = 101101010983723 is a prime.

It is a super-2 number, since 2×101101011000107² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101101011000091 and 101101011000100.

It is not a weakly prime, because it can be changed into another prime (101101011000167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550505500053 + 50550505500054.

It is an arithmetic number, because the mean of its divisors is an integer number (50550505500054).

Almost surely, 2^{101101011000107} is an apocalyptic number.

101101011000107 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101011000107 is an equidigital number, since it uses as much as digits as its factorization.

101101011000107 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 14.

Adding to 101101011000107 its reverse (701000110101101), we get a palindrome (802101121101208).

The spelling of 101101011000107 in words is "one hundred one trillion, one hundred one billion, eleven million, one hundred seven", and thus it is an aban number.