211332129109 has 2 divisors, whose sum is σ = 211332129110. Its totient is φ = 211332129108.

The previous prime is 211332129091. The next prime is 211332129133. The reversal of 211332129109 is 901921233112.

Together with previous prime (211332129091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109541140900 + 101790988209 = 330970^2 + 319047^2 .

It is a cyclic number.

It is not a de Polignac number, because 211332129109 - 2¹⁵ = 211332096341 is a prime.

It is a super-2 number, since 2×211332129109² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211332129149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105666064554 + 105666064555.

It is an arithmetic number, because the mean of its divisors is an integer number (105666064555).

Almost surely, 2^211332129109 is an apocalyptic number.

It is an amenable number.

211332129109 is a deficient number, since it is larger than the sum of its proper divisors (1).

211332129109 is an equidigital number, since it uses as much as digits as its factorization.

211332129109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 34.

The spelling of 211332129109 in words is "two hundred eleven billion, three hundred thirty-two million, one hundred twenty-nine thousand, one hundred nine".