212111100001127 has 2 divisors, whose sum is σ = 212111100001128. Its totient is φ = 212111100001126.

The previous prime is 212111100001069. The next prime is 212111100001147. The reversal of 212111100001127 is 721100001111212.

It is a happy number.

It is an a-pointer prime, because the next prime (212111100001147) can be obtained adding 212111100001127 to its sum of digits (20).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 212111100001127 - 2¹⁴ = 212111099984743 is a prime.

It is a super-2 number, since 2×212111100001127² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212111100001099 and 212111100001108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212111100001147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106055550000563 + 106055550000564.

It is an arithmetic number, because the mean of its divisors is an integer number (106055550000564).

Almost surely, 2^{212111100001127} is an apocalyptic number.

212111100001127 is a deficient number, since it is larger than the sum of its proper divisors (1).

212111100001127 is an equidigital number, since it uses as much as digits as its factorization.

212111100001127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 212111100001127 its reverse (721100001111212), we get a palindrome (933211101112339).

The spelling of 212111100001127 in words is "two hundred twelve trillion, one hundred eleven billion, one hundred million, one thousand, one hundred twenty-seven".