101132122249 has 2 divisors, whose sum is σ = 101132122250. Its totient is φ = 101132122248.

The previous prime is 101132122199. The next prime is 101132122277. The reversal of 101132122249 is 942221231101.

It is an a-pointer prime, because the next prime (101132122277) can be obtained adding 101132122249 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99434270224 + 1697852025 = 315332^2 + 41205^2 .

It is an emirp because it is prime and its reverse (942221231101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101132122249 - 2¹⁵ = 101132089481 is a prime.

It is not a weakly prime, because it can be changed into another prime (101132162249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50566061124 + 50566061125.

It is an arithmetic number, because the mean of its divisors is an integer number (50566061125).

Almost surely, 2^101132122249 is an apocalyptic number.

It is an amenable number.

101132122249 is a deficient number, since it is larger than the sum of its proper divisors (1).

101132122249 is an equidigital number, since it uses as much as digits as its factorization.

101132122249 is an evil number, because the sum of its binary digits is even.

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

The spelling of 101132122249 in words is "one hundred one billion, one hundred thirty-two million, one hundred twenty-two thousand, two hundred forty-nine".