213132012102101 has 2 divisors, whose sum is σ = 213132012102102. Its totient is φ = 213132012102100.

The previous prime is 213132012102017. The next prime is 213132012102103. The reversal of 213132012102101 is 101201210231312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206215774846225 + 6916237255876 = 14360215^2 + 2629874^2 .

It is a cyclic number.

It is not a de Polignac number, because 213132012102101 - 2¹⁰ = 213132012101077 is a prime.

It is a super-2 number, since 2×213132012102101² (a number of 29 digits) contains 22 as substring.

Together with 213132012102103, 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 (213132012102103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106566006051050 + 106566006051051.

It is an arithmetic number, because the mean of its divisors is an integer number (106566006051051).

Almost surely, 2^{213132012102101} is an apocalyptic number.

It is an amenable number.

213132012102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

213132012102101 is an equidigital number, since it uses as much as digits as its factorization.

213132012102101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 213132012102101 its reverse (101201210231312), we get a palindrome (314333222333413).

The spelling of 213132012102101 in words is "two hundred thirteen trillion, one hundred thirty-two billion, twelve million, one hundred two thousand, one hundred one".