20121222101009 has 2 divisors, whose sum is σ = 20121222101010. Its totient is φ = 20121222101008.

The previous prime is 20121222100963. The next prime is 20121222101033. The reversal of 20121222101009 is 90010122212102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14576360410000 + 5544861691009 = 3817900^2 + 2354753^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20121222101009 is a prime.

It is not a weakly prime, because it can be changed into another prime (20121222101069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060611050504 + 10060611050505.

It is an arithmetic number, because the mean of its divisors is an integer number (10060611050505).

Almost surely, 2^{20121222101009} is an apocalyptic number.

It is an amenable number.

20121222101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121222101009 is an equidigital number, since it uses as much as digits as its factorization.

20121222101009 is an evil number, because the sum of its binary digits is even.

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

The spelling of 20121222101009 in words is "twenty trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred one thousand, nine".