101020221188273 has 2 divisors, whose sum is σ = 101020221188274. Its totient is φ = 101020221188272.

The previous prime is 101020221188261. The next prime is 101020221188333. The reversal of 101020221188273 is 372881122020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58467861159184 + 42552360029089 = 7646428^2 + 6523217^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020221188273 - 2⁶ = 101020221188209 is a prime.

It is a super-2 number, since 2×101020221188273² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (161020221188273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510110594136 + 50510110594137.

It is an arithmetic number, because the mean of its divisors is an integer number (50510110594137).

Almost surely, 2^{101020221188273} is an apocalyptic number.

It is an amenable number.

101020221188273 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020221188273 is an equidigital number, since it uses as much as digits as its factorization.

101020221188273 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21504, while the sum is 38.

The spelling of 101020221188273 in words is "one hundred one trillion, twenty billion, two hundred twenty-one million, one hundred eighty-eight thousand, two hundred seventy-three".