100102001101301 has 2 divisors, whose sum is σ = 100102001101302. Its totient is φ = 100102001101300.

The previous prime is 100102001101253. The next prime is 100102001101313. The reversal of 100102001101301 is 103101100201001.

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., 87650976084100 + 12451025017201 = 9362210^2 + 3528601^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102001101301 - 2¹⁸ = 100102000839157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102001101391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051000550650 + 50051000550651.

It is an arithmetic number, because the mean of its divisors is an integer number (50051000550651).

Almost surely, 2^{100102001101301} is an apocalyptic number.

It is an amenable number.

100102001101301 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102001101301 is an equidigital number, since it uses as much as digits as its factorization.

100102001101301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 100102001101301 its reverse (103101100201001), we get a palindrome (203203101302302).

The spelling of 100102001101301 in words is "one hundred trillion, one hundred two billion, one million, one hundred one thousand, three hundred one".