1017161616100 has 144 divisors (see below), whose sum is σ = 2665668136320. Its totient is φ = 329099673600.

The previous prime is 1017161616083. The next prime is 1017161616109. The reversal of 1017161616100 is 16161617101.

It is not an unprimeable number, because it can be changed into a prime (1017161616109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3269310 + ... + 3566890.

It is an arithmetic number, because the mean of its divisors is an integer number (18511584280).

Almost surely, 2^{1017161616100} is an apocalyptic number.

1017161616100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1017161616100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332834068160).

1017161616100 is an abundant number, since it is smaller than the sum of its proper divisors (1648506520220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1017161616100 is a wasteful number, since it uses less digits than its factorization.

1017161616100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297878 (or 297871 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 31.

The spelling of 1017161616100 in words is "one trillion, seventeen billion, one hundred sixty-one million, six hundred sixteen thousand, one hundred".