102300032414101 has 2 divisors, whose sum is σ = 102300032414102. Its totient is φ = 102300032414100.

The previous prime is 102300032414093. The next prime is 102300032414117. The reversal of 102300032414101 is 101414230003201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86789234773476 + 15510797640625 = 9316074^2 + 3938375^2 .

It is an emirp because it is prime and its reverse (101414230003201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102300032414101 - 2³ = 102300032414093 is a prime.

It is a super-2 number, since 2×102300032414101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102300032514101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51150016207050 + 51150016207051.

It is an arithmetic number, because the mean of its divisors is an integer number (51150016207051).

Almost surely, 2^{102300032414101} is an apocalyptic number.

It is an amenable number.

102300032414101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102300032414101 is an equidigital number, since it uses as much as digits as its factorization.

102300032414101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 102300032414101 its reverse (101414230003201), we get a palindrome (203714262417302).

The spelling of 102300032414101 in words is "one hundred two trillion, three hundred billion, thirty-two million, four hundred fourteen thousand, one hundred one".