1001100010112 has 64 divisors (see below), whose sum is σ = 2047728180960. Its totient is φ = 487239889920.

The previous prime is 1001100010067. The next prime is 1001100010159. The reversal of 1001100010112 is 2110100011001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 1001100010112.

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 7 ways as a sum of consecutive naturals, for example, 1302287 + ... + 1923057.

Almost surely, 2^{1001100010112} 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 1001100010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023864090480).

1001100010112 is an abundant number, since it is smaller than the sum of its proper divisors (1046628170848).

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

1001100010112 is an equidigital number, since it uses as much as digits as its factorization.

1001100010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621121 (or 621109 counting only the distinct ones).

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

Adding to 1001100010112 its reverse (2110100011001), we get a palindrome (3111200021113).

The spelling of 1001100010112 in words is "one trillion, one billion, one hundred million, ten thousand, one hundred twelve".