1001001011010 has 256 divisors, whose sum is σ = 3244934504448. Its totient is φ = 190849536000.

The previous prime is 1001001011009. The next prime is 1001001011057. The reversal of 1001001011010 is 101101001001.

It is a Harshad number since it is a multiple of its sum of digits (6).

1001001011010 is a modest number, since divided by 1011010 gives 10010 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 1001001011010.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 4915210 + ... + 5114810.

It is an arithmetic number, because the mean of its divisors is an integer number (12675525408).

Almost surely, 2^{1001001011010} is an apocalyptic number.

1001001011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001001011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622467252224).

1001001011010 is an abundant number, since it is smaller than the sum of its proper divisors (2243933493438).

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

1001001011010 is a wasteful number, since it uses less digits than its factorization.

1001001011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199809.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1001001011010 its reverse (101101001001), we get a palindrome (1102102012011).

The spelling of 1001001011010 in words is "one trillion, one billion, one million, eleven thousand, ten".