100000013210101 has 2 divisors, whose sum is σ = 100000013210102. Its totient is φ = 100000013210100.

The previous prime is 100000013210099. The next prime is 100000013210137. The reversal of 100000013210101 is 101012310000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99526042923076 + 473970287025 = 9976274^2 + 688455^2 .

It is an emirp because it is prime and its reverse (101012310000001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100000013210101 - 2¹ = 100000013210099 is a prime.

Together with 100000013210099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100000013213101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000006605050 + 50000006605051.

It is an arithmetic number, because the mean of its divisors is an integer number (50000006605051).

Almost surely, 2^{100000013210101} is an apocalyptic number.

It is an amenable number.

100000013210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000013210101 is an equidigital number, since it uses as much as digits as its factorization.

100000013210101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 100000013210101 its reverse (101012310000001), we get a palindrome (201012323210102).

The spelling of 100000013210101 in words is "one hundred trillion, thirteen million, two hundred ten thousand, one hundred one".