1001221102002 has 96 divisors (see below), whose sum is σ = 2235378539520. Its totient is φ = 298678626400.

The previous prime is 1001221101977. The next prime is 1001221102009. The reversal of 1001221102002 is 2002011221001.

It is not an unprimeable number, because it can be changed into a prime (1001221102009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35191699 + ... + 35220137.

It is an arithmetic number, because the mean of its divisors is an integer number (23285193120).

Almost surely, 2^{1001221102002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001221102002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117689269760).

1001221102002 is an abundant number, since it is smaller than the sum of its proper divisors (1234157437518).

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

1001221102002 is a wasteful number, since it uses less digits than its factorization.

1001221102002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29220 (or 29209 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1001221102002 its reverse (2002011221001), we get a palindrome (3003232323003).

The spelling of 1001221102002 in words is "one trillion, one billion, two hundred twenty-one million, one hundred two thousand, two".