100301202102301 has 2 divisors, whose sum is σ = 100301202102302. Its totient is φ = 100301202102300.

The previous prime is 100301202102223. The next prime is 100301202102307. The reversal of 100301202102301 is 103201202103001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79561511915076 + 20739690187225 = 8919726^2 + 4554085^2 .

It is a cyclic number.

It is not a de Polignac number, because 100301202102301 - 2³⁹ = 99751446288413 is a prime.

It is a super-2 number, since 2×100301202102301² (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 (100301202102307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50150601051150 + 50150601051151.

It is an arithmetic number, because the mean of its divisors is an integer number (50150601051151).

Almost surely, 2^{100301202102301} is an apocalyptic number.

It is an amenable number.

100301202102301 is a deficient number, since it is larger than the sum of its proper divisors (1).

100301202102301 is an equidigital number, since it uses as much as digits as its factorization.

100301202102301 is an evil number, because the sum of its binary digits is even.

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

Adding to 100301202102301 its reverse (103201202103001), we get a palindrome (203502404205302).

The spelling of 100301202102301 in words is "one hundred trillion, three hundred one billion, two hundred two million, one hundred two thousand, three hundred one".