100022313101 has 2 divisors, whose sum is σ = 100022313102. Its totient is φ = 100022313100.

The previous prime is 100022313089. The next prime is 100022313103. The reversal of 100022313101 is 101313220001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53247870025 + 46774443076 = 230755^2 + 216274^2 .

It is a cyclic number.

It is not a de Polignac number, because 100022313101 - 2¹⁸ = 100022050957 is a prime.

Together with 100022313103, 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 (100022313103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011156550 + 50011156551.

It is an arithmetic number, because the mean of its divisors is an integer number (50011156551).

Almost surely, 2^100022313101 is an apocalyptic number.

It is an amenable number.

100022313101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022313101 is an equidigital number, since it uses as much as digits as its factorization.

100022313101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100022313101 its reverse (101313220001), we get a palindrome (201335533102).

The spelling of 100022313101 in words is "one hundred billion, twenty-two million, three hundred thirteen thousand, one hundred one".