212100210211117 has 2 divisors, whose sum is σ = 212100210211118. Its totient is φ = 212100210211116.

The previous prime is 212100210211073. The next prime is 212100210211129. The reversal of 212100210211117 is 711112012001212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208440511125961 + 3659699085156 = 14437469^2 + 1913034^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212100210211117 is a prime.

It is a super-2 number, since 2×212100210211117² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212100210211717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106050105105558 + 106050105105559.

It is an arithmetic number, because the mean of its divisors is an integer number (106050105105559).

Almost surely, 2^{212100210211117} is an apocalyptic number.

It is an amenable number.

212100210211117 is a deficient number, since it is larger than the sum of its proper divisors (1).

212100210211117 is an equidigital number, since it uses as much as digits as its factorization.

212100210211117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 22.

Adding to 212100210211117 its reverse (711112012001212), we get a palindrome (923212222212329).

The spelling of 212100210211117 in words is "two hundred twelve trillion, one hundred billion, two hundred ten million, two hundred eleven thousand, one hundred seventeen".