101121109 has 2 divisors, whose sum is σ = 101121110. Its totient is φ = 101121108.

The previous prime is 101121107. The next prime is 101121131. The reversal of 101121109 is 901121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100440484 + 680625 = 10022^2 + 825^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121109 - 2¹ = 101121107 is a prime.

Together with 101121107, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 101121092 and 101121101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560554 + 50560555.

It is an arithmetic number, because the mean of its divisors is an integer number (50560555).

Almost surely, 2^101121109 is an apocalyptic number.

It is an amenable number.

101121109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121109 is an equidigital number, since it uses as much as digits as its factorization.

101121109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 16.

The square root of 101121109 is about 10055.8992138943. The cubic root of 101121109 is about 465.8870169459.

The spelling of 101121109 in words is "one hundred one million, one hundred twenty-one thousand, one hundred nine".