211012101210109 has 2 divisors, whose sum is σ = 211012101210110. Its totient is φ = 211012101210108.

The previous prime is 211012101210067. The next prime is 211012101210137. The reversal of 211012101210109 is 901012101210112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163469393815225 + 47542707394884 = 12785515^2 + 6895122^2 .

It is a cyclic number.

It is not a de Polignac number, because 211012101210109 - 2⁷ = 211012101209981 is a prime.

It is a super-2 number, since 2×211012101210109² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211012101210109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211012101210139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105506050605054 + 105506050605055.

It is an arithmetic number, because the mean of its divisors is an integer number (105506050605055).

Almost surely, 2^{211012101210109} is an apocalyptic number.

It is an amenable number.

211012101210109 is a deficient number, since it is larger than the sum of its proper divisors (1).

211012101210109 is an equidigital number, since it uses as much as digits as its factorization.

211012101210109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 211012101210109 in words is "two hundred eleven trillion, twelve billion, one hundred one million, two hundred ten thousand, one hundred nine".