1001101022012 has 96 divisors (see below), whose sum is σ = 2167404352512. Its totient is φ = 393989308416.

The previous prime is 1001101022003. The next prime is 1001101022041. The reversal of 1001101022012 is 2102201011001.

It is a junction number, because it is equal to n+sod(n) for n = 1001101021984 and 1001101022002.

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 31 ways as a sum of consecutive naturals, for example, 76983503 + ... + 76996505.

It is an arithmetic number, because the mean of its divisors is an integer number (22577128672).

Almost surely, 2^{1001101022012} 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 1001101022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083702176256).

1001101022012 is an abundant number, since it is smaller than the sum of its proper divisors (1166303330500).

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

1001101022012 is a wasteful number, since it uses less digits than its factorization.

1001101022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14107 (or 14105 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001101022012 its reverse (2102201011001), we get a palindrome (3103302033013).

The spelling of 1001101022012 in words is "one trillion, one billion, one hundred one million, twenty-two thousand, twelve".