101121112069 has 2 divisors, whose sum is σ = 101121112070. Its totient is φ = 101121112068.

The previous prime is 101121112061. The next prime is 101121112117. The reversal of 101121112069 is 960211121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86737907169 + 14383204900 = 294513^2 + 119930^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121112069 - 2³ = 101121112061 is a prime.

It is a super-3 number, since 3×101121112069³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121112061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560556034 + 50560556035.

It is an arithmetic number, because the mean of its divisors is an integer number (50560556035).

Almost surely, 2^101121112069 is an apocalyptic number.

It is an amenable number.

101121112069 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121112069 is an equidigital number, since it uses as much as digits as its factorization.

101121112069 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 25.

The spelling of 101121112069 in words is "one hundred one billion, one hundred twenty-one million, one hundred twelve thousand, sixty-nine".