1001121002112 has 256 divisors, whose sum is σ = 3326091724800. Its totient is φ = 259192934400.

The previous prime is 1001121002071. The next prime is 1001121002117. The reversal of 1001121002112 is 2112001211001.

It is a super-3 number, since 3×1001121002112³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1001121002117) 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, 9141214 + ... + 9250082.

It is an arithmetic number, because the mean of its divisors is an integer number (12992545800).

Almost surely, 2^{1001121002112} is an apocalyptic number.

1001121002112 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 1001121002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663045862400).

1001121002112 is an abundant number, since it is smaller than the sum of its proper divisors (2324970722688).

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

1001121002112 is a wasteful number, since it uses less digits than its factorization.

1001121002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109215 (or 109203 counting only the distinct ones).

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

Adding to 1001121002112 its reverse (2112001211001), we get a palindrome (3113122213113).

The spelling of 1001121002112 in words is "one trillion, one billion, one hundred twenty-one million, two thousand, one hundred twelve".