101205113 has 2 divisors, whose sum is σ = 101205114. Its totient is φ = 101205112.

The previous prime is 101205089. The next prime is 101205127. The reversal of 101205113 is 311502101.

It is an a-pointer prime, because the next prime (101205127) can be obtained adding 101205113 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101042704 + 162409 = 10052^2 + 403^2 .

It is a cyclic number.

It is not a de Polignac number, because 101205113 - 2¹⁴ = 101188729 is a prime.

It is not a weakly prime, because it can be changed into another prime (101205163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50602556 + 50602557.

It is an arithmetic number, because the mean of its divisors is an integer number (50602557).

Almost surely, 2^101205113 is an apocalyptic number.

It is an amenable number.

101205113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101205113 is an equidigital number, since it uses as much as digits as its factorization.

101205113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 101205113 is about 10060.0751985261. The cubic root of 101205113 is about 466.0159894923.

Adding to 101205113 its reverse (311502101), we get a palindrome (412707214).

The spelling of 101205113 in words is "one hundred one million, two hundred five thousand, one hundred thirteen".