10101111321733 has 2 divisors, whose sum is σ = 10101111321734. Its totient is φ = 10101111321732.

The previous prime is 10101111321671. The next prime is 10101111321757. The reversal of 10101111321733 is 33712311110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8142673410369 + 1958437911364 = 2853537^2 + 1399442^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101111321733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101111321698 and 10101111321707.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101111321773) 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, 5050555660866 + 5050555660867.

It is an arithmetic number, because the mean of its divisors is an integer number (5050555660867).

Almost surely, 2^{10101111321733} is an apocalyptic number.

It is an amenable number.

10101111321733 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101111321733 is an equidigital number, since it uses as much as digits as its factorization.

10101111321733 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 25.

Adding to 10101111321733 its reverse (33712311110101), we get a palindrome (43813422431834).

The spelling of 10101111321733 in words is "ten trillion, one hundred one billion, one hundred eleven million, three hundred twenty-one thousand, seven hundred thirty-three".