101011221111109 has 2 divisors, whose sum is σ = 101011221111110. Its totient is φ = 101011221111108.

The previous prime is 101011221111107. The next prime is 101011221111121. The reversal of 101011221111109 is 901111122110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99134381390625 + 1876839720484 = 9956625^2 + 1369978^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011221111109 - 2¹ = 101011221111107 is a prime.

It is a super-3 number, since 3×101011221111109³ (a number of 43 digits) contains 333 as substring.

Together with 101011221111107, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 101011221111109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011221111107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505610555554 + 50505610555555.

It is an arithmetic number, because the mean of its divisors is an integer number (50505610555555).

Almost surely, 2^{101011221111109} is an apocalyptic number.

It is an amenable number.

101011221111109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011221111109 is an equidigital number, since it uses as much as digits as its factorization.

101011221111109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 22.

The spelling of 101011221111109 in words is "one hundred one trillion, eleven billion, two hundred twenty-one million, one hundred eleven thousand, one hundred nine".