213122301101 has 2 divisors, whose sum is σ = 213122301102. Its totient is φ = 213122301100.

The previous prime is 213122301071. The next prime is 213122301103. The reversal of 213122301101 is 101103221312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116382640201 + 96739660900 = 341149^2 + 311030^2 .

It is a cyclic number.

It is not a de Polignac number, because 213122301101 - 2¹⁴ = 213122284717 is a prime.

It is a super-2 number, since 2×213122301101² (a number of 23 digits) contains 22 as substring.

Together with 213122301103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213122301101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213122301103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106561150550 + 106561150551.

It is an arithmetic number, because the mean of its divisors is an integer number (106561150551).

Almost surely, 2^213122301101 is an apocalyptic number.

It is an amenable number.

213122301101 is a deficient number, since it is larger than the sum of its proper divisors (1).

213122301101 is an equidigital number, since it uses as much as digits as its factorization.

213122301101 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 213122301101 its reverse (101103221312), we get a palindrome (314225522413).

The spelling of 213122301101 in words is "two hundred thirteen billion, one hundred twenty-two million, three hundred one thousand, one hundred one".