101110220202073 has 2 divisors, whose sum is σ = 101110220202074. Its totient is φ = 101110220202072.

The previous prime is 101110220202001. The next prime is 101110220202133. The reversal of 101110220202073 is 370202022011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101077346160729 + 32874041344 = 10053723^2 + 181312^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110220202073 - 2³³ = 101101630267481 is a prime.

It is a super-3 number, since 3×101110220202073³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (101110220212073) 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, 50555110101036 + 50555110101037.

It is an arithmetic number, because the mean of its divisors is an integer number (50555110101037).

Almost surely, 2^{101110220202073} is an apocalyptic number.

It is an amenable number.

101110220202073 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110220202073 is an equidigital number, since it uses as much as digits as its factorization.

101110220202073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 101110220202073 its reverse (370202022011101), we get a palindrome (471312242213174).

The spelling of 101110220202073 in words is "one hundred one trillion, one hundred ten billion, two hundred twenty million, two hundred two thousand, seventy-three".