1002100120117 has 2 divisors, whose sum is σ = 1002100120118. Its totient is φ = 1002100120116.

The previous prime is 1002100120103. The next prime is 1002100120121. The reversal of 1002100120117 is 7110210012001.

1002100120117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 629854925956 + 372245194161 = 793634^2 + 610119^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002100120117 - 2¹¹ = 1002100118069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1002100120117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002100120127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501050060058 + 501050060059.

It is an arithmetic number, because the mean of its divisors is an integer number (501050060059).

Almost surely, 2^{1002100120117} is an apocalyptic number.

It is an amenable number.

1002100120117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002100120117 is an equidigital number, since it uses as much as digits as its factorization.

1002100120117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 1002100120117 its reverse (7110210012001), we get a palindrome (8112310132118).

The spelling of 1002100120117 in words is "one trillion, two billion, one hundred million, one hundred twenty thousand, one hundred seventeen".