1000160000100 has 54 divisors (see below), whose sum is σ = 3134945958690. Its totient is φ = 266709333120.

The previous prime is 1000160000071. The next prime is 1000160000137. The reversal of 1000160000100 is 10000610001.

It can be written as a sum of positive squares in 3 ways, for example, as 29150781696 + 971009218404 = 170736^2 + 985398^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 555643545 + ... + 555645344.

Almost surely, 2^{1000160000100} is an apocalyptic number.

1000160000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000160000100 is an abundant number, since it is smaller than the sum of its proper divisors (2134785958590).

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

1000160000100 is a wasteful number, since it uses less digits than its factorization.

1000160000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111288909 (or 1111288899 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1000160000100 its reverse (10000610001), we get a palindrome (1010160610101).

The spelling of 1000160000100 in words is "one trillion, one hundred sixty million, one hundred", and thus it is an aban number.