10001011100753 has 2 divisors, whose sum is σ = 10001011100754. Its totient is φ = 10001011100752.

The previous prime is 10001011100749. The next prime is 10001011100771. The reversal of 10001011100753 is 35700111010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9148247504449 + 852763596304 = 3024607^2 + 923452^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001011100753 - 2² = 10001011100749 is a prime.

It is a super-3 number, since 3×10001011100753³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10001011100053) 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, 5000505550376 + 5000505550377.

It is an arithmetic number, because the mean of its divisors is an integer number (5000505550377).

Almost surely, 2^{10001011100753} is an apocalyptic number.

It is an amenable number.

10001011100753 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001011100753 is an equidigital number, since it uses as much as digits as its factorization.

10001011100753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105, while the sum is 20.

Adding to 10001011100753 its reverse (35700111010001), we get a palindrome (45701122110754).

The spelling of 10001011100753 in words is "ten trillion, one billion, eleven million, one hundred thousand, seven hundred fifty-three".