102002303201101 has 2 divisors, whose sum is σ = 102002303201102. Its totient is φ = 102002303201100.

The previous prime is 102002303201069. The next prime is 102002303201119. The reversal of 102002303201101 is 101102303200201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94188461345476 + 7813841855625 = 9705074^2 + 2795325^2 .

It is a cyclic number.

It is not a de Polignac number, because 102002303201101 - 2⁵ = 102002303201069 is a prime.

It is a super-2 number, since 2×102002303201101² (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 (102002303211101) 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, 51001151600550 + 51001151600551.

It is an arithmetic number, because the mean of its divisors is an integer number (51001151600551).

Almost surely, 2^{102002303201101} is an apocalyptic number.

It is an amenable number.

102002303201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102002303201101 is an equidigital number, since it uses as much as digits as its factorization.

102002303201101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102002303201101 its reverse (101102303200201), we get a palindrome (203104606401302).

The spelling of 102002303201101 in words is "one hundred two trillion, two billion, three hundred three million, two hundred one thousand, one hundred one".