102101120753 has 2 divisors, whose sum is σ = 102101120754. Its totient is φ = 102101120752.

The previous prime is 102101120747. The next prime is 102101120851. The reversal of 102101120753 is 357021101201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101679352384 + 421768369 = 318872^2 + 20537^2 .

It is a cyclic number.

It is not a de Polignac number, because 102101120753 - 2⁶ = 102101120689 is a prime.

It is a super-3 number, since 3×102101120753³ (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (102101120153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050560376 + 51050560377.

It is an arithmetic number, because the mean of its divisors is an integer number (51050560377).

Almost surely, 2^102101120753 is an apocalyptic number.

It is an amenable number.

102101120753 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101120753 is an equidigital number, since it uses as much as digits as its factorization.

102101120753 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 23.

Adding to 102101120753 its reverse (357021101201), we get a palindrome (459122221954).

The spelling of 102101120753 in words is "one hundred two billion, one hundred one million, one hundred twenty thousand, seven hundred fifty-three".