210100120121009 has 2 divisors, whose sum is σ = 210100120121010. Its totient is φ = 210100120121008.

The previous prime is 210100120120999. The next prime is 210100120121029. The reversal of 210100120121009 is 900121021001012.

It is an a-pointer prime, because the next prime (210100120121029) can be obtained adding 210100120121009 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209208105984784 + 892014136225 = 14464028^2 + 944465^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-210100120121009 is a prime.

It is not a weakly prime, because it can be changed into another prime (210100120121029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105050060060504 + 105050060060505.

It is an arithmetic number, because the mean of its divisors is an integer number (105050060060505).

Almost surely, 2^{210100120121009} is an apocalyptic number.

It is an amenable number.

210100120121009 is a deficient number, since it is larger than the sum of its proper divisors (1).

210100120121009 is an equidigital number, since it uses as much as digits as its factorization.

210100120121009 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 210100120121009 in words is "two hundred ten trillion, one hundred billion, one hundred twenty million, one hundred twenty-one thousand, nine".