101220112073 has 2 divisors, whose sum is σ = 101220112074. Its totient is φ = 101220112072.

The previous prime is 101220112043. The next prime is 101220112151. The reversal of 101220112073 is 370211022101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99106595344 + 2113516729 = 314812^2 + 45973^2 .

It is a cyclic number.

It is not a de Polignac number, because 101220112073 - 2¹⁴ = 101220095689 is a prime.

It is a super-2 number, since 2×101220112073² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101220112003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610056036 + 50610056037.

It is an arithmetic number, because the mean of its divisors is an integer number (50610056037).

Almost surely, 2^101220112073 is an apocalyptic number.

It is an amenable number.

101220112073 is a deficient number, since it is larger than the sum of its proper divisors (1).

101220112073 is an equidigital number, since it uses as much as digits as its factorization.

101220112073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 101220112073 its reverse (370211022101), we get a palindrome (471431134174).

The spelling of 101220112073 in words is "one hundred one billion, two hundred twenty million, one hundred twelve thousand, seventy-three".