100111210002109 has 2 divisors, whose sum is σ = 100111210002110. Its totient is φ = 100111210002108.

The previous prime is 100111210002053. The next prime is 100111210002127. The reversal of 100111210002109 is 901200012111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96765683672025 + 3345526330084 = 9836955^2 + 1829078^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111210002109 - 2⁹ = 100111210001597 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111210002179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055605001054 + 50055605001055.

It is an arithmetic number, because the mean of its divisors is an integer number (50055605001055).

Almost surely, 2^{100111210002109} is an apocalyptic number.

It is an amenable number.

100111210002109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111210002109 is an equidigital number, since it uses as much as digits as its factorization.

100111210002109 is an evil number, because the sum of its binary digits is even.

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

The spelling of 100111210002109 in words is "one hundred trillion, one hundred eleven billion, two hundred ten million, two thousand, one hundred nine".