100001332212101 has 2 divisors, whose sum is σ = 100001332212102. Its totient is φ = 100001332212100.

The previous prime is 100001332212079. The next prime is 100001332212181. The reversal of 100001332212101 is 101212233100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70802968802500 + 29198363409601 = 8414450^2 + 5403551^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001332212101 - 2¹⁸ = 100001331949957 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100001332212101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001332212181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000666106050 + 50000666106051.

It is an arithmetic number, because the mean of its divisors is an integer number (50000666106051).

Almost surely, 2^{100001332212101} is an apocalyptic number.

It is an amenable number.

100001332212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001332212101 is an equidigital number, since it uses as much as digits as its factorization.

100001332212101 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 17.

Adding to 100001332212101 its reverse (101212233100001), we get a palindrome (201213565312102).

The spelling of 100001332212101 in words is "one hundred trillion, one billion, three hundred thirty-two million, two hundred twelve thousand, one hundred one".