10001112022301 has 2 divisors, whose sum is σ = 10001112022302. Its totient is φ = 10001112022300.

The previous prime is 10001112022277. The next prime is 10001112022303. The reversal of 10001112022301 is 10322021110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5025223373401 + 4975888648900 = 2241701^2 + 2230670^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10001112022301 is a prime.

It is a super-2 number, since 2×10001112022301² (a number of 27 digits) contains 22 as substring.

Together with 10001112022303, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001112022303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000556011150 + 5000556011151.

It is an arithmetic number, because the mean of its divisors is an integer number (5000556011151).

Almost surely, 2^{10001112022301} is an apocalyptic number.

It is an amenable number.

10001112022301 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001112022301 is an equidigital number, since it uses as much as digits as its factorization.

10001112022301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10001112022301 its reverse (10322021110001), we get a palindrome (20323133132302).

The spelling of 10001112022301 in words is "ten trillion, one billion, one hundred twelve million, twenty-two thousand, three hundred one".