1001022022112 has 96 divisors (see below), whose sum is σ = 2300824673280. Its totient is φ = 419771358720.

The previous prime is 1001022022081. The next prime is 1001022022129. The reversal of 1001022022112 is 2112202201001.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 49376714 + ... + 49396982.

It is an arithmetic number, because the mean of its divisors is an integer number (23966923680).

Almost surely, 2^{1001022022112} 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 1001022022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150412336640).

1001022022112 is an abundant number, since it is smaller than the sum of its proper divisors (1299802651168).

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

1001022022112 is a wasteful number, since it uses less digits than its factorization.

1001022022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25024 (or 25016 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1001022022112 its reverse (2112202201001), we get a palindrome (3113224223113).

The spelling of 1001022022112 in words is "one trillion, one billion, twenty-two million, twenty-two thousand, one hundred twelve".