1001011000010 has 64 divisors (see below), whose sum is σ = 2130475806720. Its totient is φ = 331330970880.

The previous prime is 1001010999959. The next prime is 1001011000013. The reversal of 1001011000010 is 100001101001.

1001011000010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1001010999958 and 1001011000003.

It is not an unprimeable number, because it can be changed into a prime (1001011000013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21671540 + ... + 21717680.

It is an arithmetic number, because the mean of its divisors is an integer number (33288684480).

Almost surely, 2^{1001011000010} is an apocalyptic number.

1001011000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001011000010 is an abundant number, since it is smaller than the sum of its proper divisors (1129464806710).

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

1001011000010 is a wasteful number, since it uses less digits than its factorization.

1001011000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56871.

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

Adding to 1001011000010 its reverse (100001101001), we get a palindrome (1101012101011).

The spelling of 1001011000010 in words is "one trillion, one billion, eleven million, ten", and thus it is an aban number and an uban number.