1011011000010 has 96 divisors (see below), whose sum is σ = 2667644159040. Its totient is φ = 245040238080.

The previous prime is 1011011000009. The next prime is 1011011000011. The reversal of 1011011000010 is 100001101101.

It is an interprime number because it is at equal distance from previous prime (1011011000009) and next prime (1011011000011).

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

It is not an unprimeable number, because it can be changed into a prime (1011011000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18154869 + ... + 18210471.

It is an arithmetic number, because the mean of its divisors is an integer number (27787959990).

Almost surely, 2^{1011011000010} is an apocalyptic number.

1011011000010 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 1011011000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333822079520).

1011011000010 is an abundant number, since it is smaller than the sum of its proper divisors (1656633159030).

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

1011011000010 is a wasteful number, since it uses less digits than its factorization.

1011011000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60644 (or 60633 counting only the distinct ones).

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

Adding to 1011011000010 its reverse (100001101101), we get a palindrome (1111012101111).

The spelling of 1011011000010 in words is "one trillion, eleven billion, eleven million, ten", and thus it is an aban number and an uban number.