1002110330100 has 144 divisors (see below), whose sum is σ = 3163463525376. Its totient is φ = 242902128000.

The previous prime is 1002110330093. The next prime is 1002110330131. The reversal of 1002110330100 is 10330112001.

1002110330100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1002110330100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30432645 + ... + 30465555.

It is an arithmetic number, because the mean of its divisors is an integer number (21968496704).

Almost surely, 2^{1002110330100} is an apocalyptic number.

1002110330100 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 1002110330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581731762688).

1002110330100 is an abundant number, since it is smaller than the sum of its proper divisors (2161353195276).

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

1002110330100 is a wasteful number, since it uses less digits than its factorization.

1002110330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42166 (or 42159 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1002110330100 its reverse (10330112001), we get a palindrome (1012440442101).

The spelling of 1002110330100 in words is "one trillion, two billion, one hundred ten million, three hundred thirty thousand, one hundred".