101221101020009 has 2 divisors, whose sum is σ = 101221101020010. Its totient is φ = 101221101020008.

The previous prime is 101221101019967. The next prime is 101221101020029. The reversal of 101221101020009 is 900020101122101.

It is an a-pointer prime, because the next prime (101221101020029) can be obtained adding 101221101020009 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96530723250025 + 4690377769984 = 9825005^2 + 2165728^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101221101020009 is a prime.

It is a super-2 number, since 2×101221101020009² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101221101020029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610550510004 + 50610550510005.

It is an arithmetic number, because the mean of its divisors is an integer number (50610550510005).

Almost surely, 2^{101221101020009} is an apocalyptic number.

It is an amenable number.

101221101020009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221101020009 is an equidigital number, since it uses as much as digits as its factorization.

101221101020009 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 101221101020009 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred one million, twenty thousand, nine".