1011000010112 has 128 divisors (see below), whose sum is σ = 2241882316800. Its totient is φ = 452141568000.

The previous prime is 1011000010091. The next prime is 1011000010121. The reversal of 1011000010112 is 2110100001101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1011000010112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2927537 + ... + 3254607.

It is an arithmetic number, because the mean of its divisors is an integer number (17514705600).

Almost surely, 2^{1011000010112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011000010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120941158400).

1011000010112 is an abundant number, since it is smaller than the sum of its proper divisors (1230882306688).

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

1011000010112 is a wasteful number, since it uses less digits than its factorization.

1011000010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327176 (or 327164 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1011000010112 its reverse (2110100001101), we get a palindrome (3121100011213).

The spelling of 1011000010112 in words is "one trillion, eleven billion, ten thousand, one hundred twelve".