101014000753 has 2 divisors, whose sum is σ = 101014000754. Its totient is φ = 101014000752.

The previous prime is 101014000733. The next prime is 101014000757. The reversal of 101014000753 is 357000410101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90952305889 + 10061694864 = 301583^2 + 100308^2 .

It is a cyclic number.

It is not a de Polignac number, because 101014000753 - 2¹⁷ = 101013869681 is a prime.

It is a super-3 number, since 3×101014000753³ (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (101014000757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50507000376 + 50507000377.

It is an arithmetic number, because the mean of its divisors is an integer number (50507000377).

Almost surely, 2^101014000753 is an apocalyptic number.

It is an amenable number.

101014000753 is a deficient number, since it is larger than the sum of its proper divisors (1).

101014000753 is an equidigital number, since it uses as much as digits as its factorization.

101014000753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 22.

Adding to 101014000753 its reverse (357000410101), we get a palindrome (458014410854).

The spelling of 101014000753 in words is "one hundred one billion, fourteen million, seven hundred fifty-three", and thus it is an aban number.