1001100077233 has 2 divisors, whose sum is σ = 1001100077234. Its totient is φ = 1001100077232.

The previous prime is 1001100077227. The next prime is 1001100077239. The reversal of 1001100077233 is 3327700011001.

1001100077233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (1001100077227) and next prime (1001100077239).

It can be written as a sum of positive squares in only one way, i.e., 879896528784 + 121203548449 = 938028^2 + 348143^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001100077233 - 2¹³ = 1001100069041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001100077198 and 1001100077207.

It is not a weakly prime, because it can be changed into another prime (1001100077239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550038616 + 500550038617.

It is an arithmetic number, because the mean of its divisors is an integer number (500550038617).

Almost surely, 2^{1001100077233} is an apocalyptic number.

It is an amenable number.

1001100077233 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001100077233 is an equidigital number, since it uses as much as digits as its factorization.

1001100077233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 882, while the sum is 25.

Adding to 1001100077233 its reverse (3327700011001), we get a palindrome (4328800088234).

The spelling of 1001100077233 in words is "one trillion, one billion, one hundred million, seventy-seven thousand, two hundred thirty-three".