1000102100109 has 64 divisors (see below), whose sum is σ = 1593853900800. Its totient is φ = 557247600000.

The previous prime is 1000102100071. The next prime is 1000102100149. The reversal of 1000102100109 is 9010012010001.

It is not a de Polignac number, because 1000102100109 - 2⁹ = 1000102099597 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000102100149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94962174 + ... + 94972704.

It is an arithmetic number, because the mean of its divisors is an integer number (24903967200).

Almost surely, 2^{1000102100109} is an apocalyptic number.

It is an amenable number.

1000102100109 is a deficient number, since it is larger than the sum of its proper divisors (593751800691).

1000102100109 is a wasteful number, since it uses less digits than its factorization.

1000102100109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12847 (or 12833 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

The spelling of 1000102100109 in words is "one trillion, one hundred two million, one hundred thousand, one hundred nine".