20121002200109 has 2 divisors, whose sum is σ = 20121002200110. Its totient is φ = 20121002200108.

The previous prime is 20121002200097. The next prime is 20121002200213. The reversal of 20121002200109 is 90100220012102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19807368599209 + 313633600900 = 4450547^2 + 560030^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121002200109 - 2⁴ = 20121002200093 is a prime.

It is a super-2 number, since 2×20121002200109² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20121002200309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060501100054 + 10060501100055.

It is an arithmetic number, because the mean of its divisors is an integer number (10060501100055).

Almost surely, 2^{20121002200109} is an apocalyptic number.

It is an amenable number.

20121002200109 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121002200109 is an equidigital number, since it uses as much as digits as its factorization.

20121002200109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 20121002200109 in words is "twenty trillion, one hundred twenty-one billion, two million, two hundred thousand, one hundred nine".