101102300210113 has 2 divisors, whose sum is σ = 101102300210114. Its totient is φ = 101102300210112.

The previous prime is 101102300210077. The next prime is 101102300210141. The reversal of 101102300210113 is 311012003201101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100294776913984 + 807523296129 = 10014728^2 + 898623^2 .

It is a cyclic number.

It is not a de Polignac number, because 101102300210113 - 2¹³ = 101102300201921 is a prime.

It is not a weakly prime, because it can be changed into another prime (101102300240113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551150105056 + 50551150105057.

It is an arithmetic number, because the mean of its divisors is an integer number (50551150105057).

Almost surely, 2^{101102300210113} is an apocalyptic number.

It is an amenable number.

101102300210113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102300210113 is an equidigital number, since it uses as much as digits as its factorization.

101102300210113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101102300210113 its reverse (311012003201101), we get a palindrome (412114303411214).

The spelling of 101102300210113 in words is "one hundred one trillion, one hundred two billion, three hundred million, two hundred ten thousand, one hundred thirteen".