20101122200213 has 2 divisors, whose sum is σ = 20101122200214. Its totient is φ = 20101122200212.

The previous prime is 20101122200113. The next prime is 20101122200311. The reversal of 20101122200213 is 31200222110102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10429134159889 + 9671988040324 = 3229417^2 + 3109982^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101122200213 - 2⁸ = 20101122199957 is a prime.

It is a super-2 number, since 2×20101122200213² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20101122200191 and 20101122200200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20101122200113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050561100106 + 10050561100107.

It is an arithmetic number, because the mean of its divisors is an integer number (10050561100107).

Almost surely, 2^{20101122200213} is an apocalyptic number.

It is an amenable number.

20101122200213 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101122200213 is an equidigital number, since it uses as much as digits as its factorization.

20101122200213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 20101122200213 its reverse (31200222110102), we get a palindrome (51301344310315).

The spelling of 20101122200213 in words is "twenty trillion, one hundred one billion, one hundred twenty-two million, two hundred thousand, two hundred thirteen".