10000022101 has 2 divisors, whose sum is σ = 10000022102. Its totient is φ = 10000022100.

The previous prime is 10000022099. The next prime is 10000022141. The reversal of 10000022101 is 10122000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9499426225 + 500595876 = 97465^2 + 22374^2 .

It is an emirp because it is prime and its reverse (10122000001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10000022101 - 2¹ = 10000022099 is a prime.

Together with 10000022099, 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 (10000022141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000011050 + 5000011051.

It is an arithmetic number, because the mean of its divisors is an integer number (5000011051).

Almost surely, 2^10000022101 is an apocalyptic number.

It is an amenable number.

10000022101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000022101 is an equidigital number, since it uses as much as digits as its factorization.

10000022101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10000022101 its reverse (10122000001), we get a palindrome (20122022102).

The spelling of 10000022101 in words is "ten billion, twenty-two thousand, one hundred one".