110101000101083 has 2 divisors, whose sum is σ = 110101000101084. Its totient is φ = 110101000101082.

The previous prime is 110101000101007. The next prime is 110101000101119. The reversal of 110101000101083 is 380101000101011.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 110101000101083 - 2³⁴ = 110083820231899 is a prime.

It is not a weakly prime, because it can be changed into another prime (110101000101283) 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, 55050500050541 + 55050500050542.

It is an arithmetic number, because the mean of its divisors is an integer number (55050500050542).

Almost surely, 2^{110101000101083} is an apocalyptic number.

110101000101083 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101000101083 is an equidigital number, since it uses as much as digits as its factorization.

110101000101083 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 110101000101083 its reverse (380101000101011), we get a palindrome (490202000202094).

The spelling of 110101000101083 in words is "one hundred ten trillion, one hundred one billion, one hundred one thousand, eighty-three".