100210012210109 has 2 divisors, whose sum is σ = 100210012210110. Its totient is φ = 100210012210108.

The previous prime is 100210012209973. The next prime is 100210012210123. The reversal of 100210012210109 is 901012210012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100134985522009 + 75026688100 = 10006747^2 + 273910^2 .

It is a cyclic number.

It is not a de Polignac number, because 100210012210109 - 2¹² = 100210012206013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100210012210169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105006105054 + 50105006105055.

It is an arithmetic number, because the mean of its divisors is an integer number (50105006105055).

Almost surely, 2^{100210012210109} is an apocalyptic number.

It is an amenable number.

100210012210109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210012210109 is an equidigital number, since it uses as much as digits as its factorization.

100210012210109 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 100210012210109 in words is "one hundred trillion, two hundred ten billion, twelve million, two hundred ten thousand, one hundred nine".