10101122102009 has 2 divisors, whose sum is σ = 10101122102010. Its totient is φ = 10101122102008.

The previous prime is 10101122101997. The next prime is 10101122102033. The reversal of 10101122102009 is 90020122110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7796782921984 + 2304339180025 = 2792272^2 + 1518005^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101122102009 is a prime.

It is a super-3 number, since 3×10101122102009³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10101122102059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050561051004 + 5050561051005.

It is an arithmetic number, because the mean of its divisors is an integer number (5050561051005).

Almost surely, 2^{10101122102009} is an apocalyptic number.

It is an amenable number.

10101122102009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101122102009 is an equidigital number, since it uses as much as digits as its factorization.

10101122102009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 10101122102009 in words is "ten trillion, one hundred one billion, one hundred twenty-two million, one hundred two thousand, nine".