100022002002101 has 2 divisors, whose sum is σ = 100022002002102. Its totient is φ = 100022002002100.

The previous prime is 100022002002071. The next prime is 100022002002103. The reversal of 100022002002101 is 101200200220001.

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., 68353639675876 + 31668362326225 = 8267626^2 + 5627465^2 .

It is a cyclic number.

It is not a de Polignac number, because 100022002002101 - 2⁴² = 95623955490997 is a prime.

Together with 100022002002103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100022002002103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011001001050 + 50011001001051.

It is an arithmetic number, because the mean of its divisors is an integer number (50011001001051).

Almost surely, 2^{100022002002101} is an apocalyptic number.

It is an amenable number.

100022002002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022002002101 is an equidigital number, since it uses as much as digits as its factorization.

100022002002101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100022002002101 its reverse (101200200220001), we get a palindrome (201222202222102).

The spelling of 100022002002101 in words is "one hundred trillion, twenty-two billion, two million, two thousand, one hundred one".