101121201211909 has 2 divisors, whose sum is σ = 101121201211910. Its totient is φ = 101121201211908.

The previous prime is 101121201211907. The next prime is 101121201211937. The reversal of 101121201211909 is 909112102121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66067992881284 + 35053208330625 = 8128222^2 + 5920575^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121201211909 - 2¹ = 101121201211907 is a prime.

Together with 101121201211907, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121201211907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560600605954 + 50560600605955.

It is an arithmetic number, because the mean of its divisors is an integer number (50560600605955).

Almost surely, 2^{101121201211909} is an apocalyptic number.

It is an amenable number.

101121201211909 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121201211909 is an equidigital number, since it uses as much as digits as its factorization.

101121201211909 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 31.

The spelling of 101121201211909 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred one million, two hundred eleven thousand, nine hundred nine".