100211000101109 has 2 divisors, whose sum is σ = 100211000101110. Its totient is φ = 100211000101108.

The previous prime is 100211000101103. The next prime is 100211000101111. The reversal of 100211000101109 is 901101000112001.

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., 99039875726884 + 1171124374225 = 9951878^2 + 1082185^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211000101109 - 2⁸ = 100211000100853 is a prime.

Together with 100211000101111, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100211000101103) 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, 50105500050554 + 50105500050555.

It is an arithmetic number, because the mean of its divisors is an integer number (50105500050555).

Almost surely, 2^{100211000101109} is an apocalyptic number.

It is an amenable number.

100211000101109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211000101109 is an equidigital number, since it uses as much as digits as its factorization.

100211000101109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 100211000101109 in words is "one hundred trillion, two hundred eleven billion, one hundred one thousand, one hundred nine".