100102010121109 has 2 divisors, whose sum is σ = 100102010121110. Its totient is φ = 100102010121108.

The previous prime is 100102010121107. The next prime is 100102010121209. The reversal of 100102010121109 is 901121010201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96012130822084 + 4089879299025 = 9798578^2 + 2022345^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102010121109 - 2¹ = 100102010121107 is a prime.

Together with 100102010121107, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102010121107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051005060554 + 50051005060555.

It is an arithmetic number, because the mean of its divisors is an integer number (50051005060555).

Almost surely, 2^{100102010121109} is an apocalyptic number.

It is an amenable number.

100102010121109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102010121109 is an equidigital number, since it uses as much as digits as its factorization.

100102010121109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 100102010121109 in words is "one hundred trillion, one hundred two billion, ten million, one hundred twenty-one thousand, one hundred nine".