1001102221014 has 96 divisors (see below), whose sum is σ = 2453057122560. Its totient is φ = 266733844992.

The previous prime is 1001102221013. The next prime is 1001102221057. The reversal of 1001102221014 is 4101222011001.

It is a junction number, because it is equal to n+sod(n) for n = 1001102220984 and 1001102221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001102221013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 944709 + ... + 1701375.

It is an arithmetic number, because the mean of its divisors is an integer number (25552678360).

Almost surely, 2^{1001102221014} is an apocalyptic number.

1001102221014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001102221014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226528561280).

1001102221014 is an abundant number, since it is smaller than the sum of its proper divisors (1451954901546).

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

1001102221014 is a wasteful number, since it uses less digits than its factorization.

1001102221014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756822 (or 756805 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1001102221014 its reverse (4101222011001), we get a palindrome (5102324232015).

The spelling of 1001102221014 in words is "one trillion, one billion, one hundred two million, two hundred twenty-one thousand, fourteen".