10122100273 has 2 divisors, whose sum is σ = 10122100274. Its totient is φ = 10122100272.

The previous prime is 10122100267. The next prime is 10122100277. The reversal of 10122100273 is 37200122101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8882497009 + 1239603264 = 94247^2 + 35208^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122100273 - 2¹³ = 10122092081 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10122100273.

It is not a weakly prime, because it can be changed into another prime (10122100277) 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, 5061050136 + 5061050137.

It is an arithmetic number, because the mean of its divisors is an integer number (5061050137).

Almost surely, 2^10122100273 is an apocalyptic number.

It is an amenable number.

10122100273 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122100273 is an equidigital number, since it uses as much as digits as its factorization.

10122100273 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 19.

Adding to 10122100273 its reverse (37200122101), we get a palindrome (47322222374).

The spelling of 10122100273 in words is "ten billion, one hundred twenty-two million, one hundred thousand, two hundred seventy-three".