11213200310101 has 2 divisors, whose sum is σ = 11213200310102. Its totient is φ = 11213200310100.

The previous prime is 11213200310099. The next prime is 11213200310119. The reversal of 11213200310101 is 10101300231211.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8466063122500 + 2747137187601 = 2909650^2 + 1657449^2 .

It is a cyclic number.

It is not a de Polignac number, because 11213200310101 - 2¹ = 11213200310099 is a prime.

It is a super-2 number, since 2×11213200310101² (a number of 27 digits) contains 22 as substring.

Together with 11213200310099, 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 (11213200910101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5606600155050 + 5606600155051.

It is an arithmetic number, because the mean of its divisors is an integer number (5606600155051).

Almost surely, 2^{11213200310101} is an apocalyptic number.

It is an amenable number.

11213200310101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11213200310101 is an equidigital number, since it uses as much as digits as its factorization.

11213200310101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11213200310101 its reverse (10101300231211), we get a palindrome (21314500541312).

The spelling of 11213200310101 in words is "eleven trillion, two hundred thirteen billion, two hundred million, three hundred ten thousand, one hundred one".