1001100212112 has 960 divisors, whose sum is σ = 3715782174720. Its totient is φ = 225358848000.

The previous prime is 1001100212087. The next prime is 1001100212129. The reversal of 1001100212112 is 2112120011001.

1001100212112 is digitally balanced in base 2 and base 4, because in such bases 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 (12).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1315505812 + ... + 1315506572.

It is an arithmetic number, because the mean of its divisors is an integer number (3870606432).

Almost surely, 2^{1001100212112} is an apocalyptic number.

1001100212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001100212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857891087360).

1001100212112 is an abundant number, since it is smaller than the sum of its proper divisors (2714681962608).

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

1001100212112 is a wasteful number, since it uses less digits than its factorization.

1001100212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001100212112 its reverse (2112120011001), we get a palindrome (3113220223113).

The spelling of 1001100212112 in words is "one trillion, one billion, one hundred million, two hundred twelve thousand, one hundred twelve".