2102101020109 has 2 divisors, whose sum is σ = 2102101020110. Its totient is φ = 2102101020108.

The previous prime is 2102101020083. The next prime is 2102101020113. The reversal of 2102101020109 is 9010201012012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1967721590025 + 134379430084 = 1402755^2 + 366578^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102101020109 - 2⁷ = 2102101019981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102101020169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051050510054 + 1051050510055.

It is an arithmetic number, because the mean of its divisors is an integer number (1051050510055).

Almost surely, 2^{2102101020109} is an apocalyptic number.

It is an amenable number.

2102101020109 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102101020109 is an equidigital number, since it uses as much as digits as its factorization.

2102101020109 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 2102101020109 in words is "two trillion, one hundred two billion, one hundred one million, twenty thousand, one hundred nine".