1001021020112 has 160 divisors (see below), whose sum is σ = 2134082160000. Its totient is φ = 453204910080.

The previous prime is 1001021020099. The next prime is 1001021020117. The reversal of 1001021020112 is 2110201201001.

It is a junction number, because it is equal to n+sod(n) for n = 1001021020093 and 1001021020102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001021020117) 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, 230170514 + ... + 230174862.

It is an arithmetic number, because the mean of its divisors is an integer number (13338013500).

Almost surely, 2^{1001021020112} 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 1001021020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067041080000).

1001021020112 is an abundant number, since it is smaller than the sum of its proper divisors (1133061139888).

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

1001021020112 is a wasteful number, since it uses less digits than its factorization.

1001021020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4789 (or 4783 counting only the distinct ones).

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

Adding to 1001021020112 its reverse (2110201201001), we get a palindrome (3111222221113).

The spelling of 1001021020112 in words is "one trillion, one billion, twenty-one million, twenty thousand, one hundred twelve".