10302240312101 has 2 divisors, whose sum is σ = 10302240312102. Its totient is φ = 10302240312100.

The previous prime is 10302240312047. The next prime is 10302240312127. The reversal of 10302240312101 is 10121304220301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10221128702500 + 81111609601 = 3197050^2 + 284801^2 .

It is a cyclic number.

It is not a de Polignac number, because 10302240312101 - 2³⁸ = 10027362405157 is a prime.

It is a super-2 number, since 2×10302240312101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10302240312601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5151120156050 + 5151120156051.

It is an arithmetic number, because the mean of its divisors is an integer number (5151120156051).

Almost surely, 2^{10302240312101} is an apocalyptic number.

It is an amenable number.

10302240312101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10302240312101 is an equidigital number, since it uses as much as digits as its factorization.

10302240312101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10302240312101 its reverse (10121304220301), we get a palindrome (20423544532402).

The spelling of 10302240312101 in words is "ten trillion, three hundred two billion, two hundred forty million, three hundred twelve thousand, one hundred one".