1001010110000 has 100 divisors (see below), whose sum is σ = 2507116840800. Its totient is φ = 386596896000.

The previous prime is 1001010109973. The next prime is 1001010110003. The reversal of 1001010110000 is 110101001.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (1001010110003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1435880 + ... + 2015879.

It is an arithmetic number, because the mean of its divisors is an integer number (25071168408).

Almost surely, 2^{1001010110000} is an apocalyptic number.

1001010110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001010110000 is an abundant number, since it is smaller than the sum of its proper divisors (1506106730800).

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

1001010110000 is an equidigital number, since it uses as much as digits as its factorization.

1001010110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451816 (or 3451795 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1001010110000 its reverse (110101001), we get a palindrome (1001120211001).

The spelling of 1001010110000 in words is "one trillion, one billion, ten million, one hundred ten thousand".