101122233103301 has 2 divisors, whose sum is σ = 101122233103302. Its totient is φ = 101122233103300.

The previous prime is 101122233103289. The next prime is 101122233103319. The reversal of 101122233103301 is 103301332221101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99344557546276 + 1777675557025 = 9967174^2 + 1333295^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122233103301 - 2²² = 101122228908997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101122233103351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561116551650 + 50561116551651.

It is an arithmetic number, because the mean of its divisors is an integer number (50561116551651).

Almost surely, 2^{101122233103301} is an apocalyptic number.

It is an amenable number.

101122233103301 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122233103301 is an equidigital number, since it uses as much as digits as its factorization.

101122233103301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 101122233103301 its reverse (103301332221101), we get a palindrome (204423565324402).

The spelling of 101122233103301 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred thirty-three million, one hundred three thousand, three hundred one".