10111122101237 has 2 divisors, whose sum is σ = 10111122101238. Its totient is φ = 10111122101236.

The previous prime is 10111122101183. The next prime is 10111122101239. The reversal of 10111122101237 is 73210122111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8922163026001 + 1188959075236 = 2986999^2 + 1090394^2 .

It is an emirp because it is prime and its reverse (73210122111101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10111122101237 - 2²² = 10111117906933 is a prime.

It is a super-2 number, since 2×10111122101237² (a number of 27 digits) contains 22 as substring.

Together with 10111122101239, 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 (10111122101239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055561050618 + 5055561050619.

It is an arithmetic number, because the mean of its divisors is an integer number (5055561050619).

Almost surely, 2^{10111122101237} is an apocalyptic number.

It is an amenable number.

10111122101237 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111122101237 is an equidigital number, since it uses as much as digits as its factorization.

10111122101237 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 23.

Adding to 10111122101237 its reverse (73210122111101), we get a palindrome (83321244212338).

The spelling of 10111122101237 in words is "ten trillion, one hundred eleven billion, one hundred twenty-two million, one hundred one thousand, two hundred thirty-seven".