1002102221120 has 448 divisors, whose sum is σ = 3212177472000. Its totient is φ = 287574589440.

The previous prime is 1002102221111. The next prime is 1002102221189. The reversal of 1002102221120 is 211222012001.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 1002102221095 and 1002102221104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131007056 + ... + 131014704.

It is an arithmetic number, because the mean of its divisors is an integer number (7170039000).

Almost surely, 2^{1002102221120} is an apocalyptic number.

1002102221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002102221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606088736000).

1002102221120 is an abundant number, since it is smaller than the sum of its proper divisors (2210075250880).

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

1002102221120 is a wasteful number, since it uses less digits than its factorization.

1002102221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8106 (or 8096 counting only the distinct ones).

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

Adding to 1002102221120 its reverse (211222012001), we get a palindrome (1213324233121).

The spelling of 1002102221120 in words is "one trillion, two billion, one hundred two million, two hundred twenty-one thousand, one hundred twenty".