10211020112009 has 2 divisors, whose sum is σ = 10211020112010. Its totient is φ = 10211020112008.

The previous prime is 10211020111987. The next prime is 10211020112063. The reversal of 10211020112009 is 90021102011201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9945527244409 + 265492867600 = 3153653^2 + 515260^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10211020112009 is a prime.

It is not a weakly prime, because it can be changed into another prime (10211020111009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105510056004 + 5105510056005.

It is an arithmetic number, because the mean of its divisors is an integer number (5105510056005).

Almost surely, 2^{10211020112009} is an apocalyptic number.

It is an amenable number.

10211020112009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211020112009 is an equidigital number, since it uses as much as digits as its factorization.

10211020112009 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 10211020112009 in words is "ten trillion, two hundred eleven billion, twenty million, one hundred twelve thousand, nine".