101122013 has 2 divisors, whose sum is σ = 101122014. Its totient is φ = 101122012.

The previous prime is 101122003. The next prime is 101122019. The reversal of 101122013 is 310221101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88604569 + 12517444 = 9413^2 + 3538^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122013 - 2¹⁰ = 101120989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101121985 and 101122003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101122019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561006 + 50561007.

It is an arithmetic number, because the mean of its divisors is an integer number (50561007).

Almost surely, 2^101122013 is an apocalyptic number.

It is an amenable number.

101122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122013 is an equidigital number, since it uses as much as digits as its factorization.

101122013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 101122013 is about 10055.9441625339. The cubic root of 101122013 is about 465.8884052502. Note that the first 3 decimals are identical.

Adding to 101122013 its reverse (310221101), we get a palindrome (411343114).

The spelling of 101122013 in words is "one hundred one million, one hundred twenty-two thousand, thirteen".