101213122249 has 2 divisors, whose sum is σ = 101213122250. Its totient is φ = 101213122248.

The previous prime is 101213122229. The next prime is 101213122273. The reversal of 101213122249 is 942221312101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94806720649 + 6406401600 = 307907^2 + 80040^2 .

It is an emirp because it is prime and its reverse (942221312101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101213122249 is a prime.

It is a super-2 number, since 2×101213122249² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101213122229) 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, 50606561124 + 50606561125.

It is an arithmetic number, because the mean of its divisors is an integer number (50606561125).

Almost surely, 2^101213122249 is an apocalyptic number.

It is an amenable number.

101213122249 is a deficient number, since it is larger than the sum of its proper divisors (1).

101213122249 is an equidigital number, since it uses as much as digits as its factorization.

101213122249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 101213122249 in words is "one hundred one billion, two hundred thirteen million, one hundred twenty-two thousand, two hundred forty-nine".