100210012020109 has 2 divisors, whose sum is σ = 100210012020110. Its totient is φ = 100210012020108.

The previous prime is 100210012020101. The next prime is 100210012020197. The reversal of 100210012020109 is 901020210012001.

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., 57079203586084 + 43130808434025 = 7555078^2 + 6567405^2 .

It is a cyclic number.

It is not a de Polignac number, because 100210012020109 - 2³ = 100210012020101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100210012020101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105006010054 + 50105006010055.

It is an arithmetic number, because the mean of its divisors is an integer number (50105006010055).

Almost surely, 2^{100210012020109} is an apocalyptic number.

It is an amenable number.

100210012020109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210012020109 is an equidigital number, since it uses as much as digits as its factorization.

100210012020109 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 19.

The spelling of 100210012020109 in words is "one hundred trillion, two hundred ten billion, twelve million, twenty thousand, one hundred nine".