1001101000010 has 32 divisors (see below), whose sum is σ = 1808403905232. Its totient is φ = 399014922240.

The previous prime is 1001100999967. The next prime is 1001101000033. The reversal of 1001101000010 is 100001011001.

1001101000010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 424544768041 + 576556231969 = 651571^2 + 759313^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1001100999958 and 1001101000003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4772252 + ... + 4977608.

Almost surely, 2^{1001101000010} is an apocalyptic number.

1001101000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001101000010 is a deficient number, since it is larger than the sum of its proper divisors (807302905222).

1001101000010 is a wasteful number, since it uses less digits than its factorization.

1001101000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207098.

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

Adding to 1001101000010 its reverse (100001011001), we get a palindrome (1101102011011).

The spelling of 1001101000010 in words is "one trillion, one billion, one hundred one million, ten", and thus it is an aban number.