10220212112009 has 2 divisors, whose sum is σ = 10220212112010. Its totient is φ = 10220212112008.

The previous prime is 10220212112003. The next prime is 10220212112023. The reversal of 10220212112009 is 90021121202201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5282274822400 + 4937937289609 = 2298320^2 + 2222147^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10220212112009 is a prime.

It is a super-3 number, since 3×10220212112009³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10220212112003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110106056004 + 5110106056005.

It is an arithmetic number, because the mean of its divisors is an integer number (5110106056005).

Almost surely, 2^{10220212112009} is an apocalyptic number.

It is an amenable number.

10220212112009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10220212112009 is an equidigital number, since it uses as much as digits as its factorization.

10220212112009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 10220212112009 in words is "ten trillion, two hundred twenty billion, two hundred twelve million, one hundred twelve thousand, nine".