1002002110100 has 144 divisors (see below), whose sum is σ = 2292230631600. Its totient is φ = 379631616000.

The previous prime is 1002002110099. The next prime is 1002002110111. The reversal of 1002002110100 is 10112002001.

It can be written as a sum of positive squares in 24 ways, for example, as 819582574864 + 182419535236 = 905308^2 + 427106^2 .

It is a congruent number.

It is an unprimeable number.

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, 68806820 + ... + 68821380.

It is an arithmetic number, because the mean of its divisors is an integer number (15918268275).

Almost surely, 2^{1002002110100} is an apocalyptic number.

1002002110100 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 1002002110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146115315800).

1002002110100 is an abundant number, since it is smaller than the sum of its proper divisors (1290228521500).

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

1002002110100 is a wasteful number, since it uses less digits than its factorization.

1002002110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15054 (or 15047 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1002002110100 its reverse (10112002001), we get a palindrome (1012114112101).

The spelling of 1002002110100 in words is "one trillion, two billion, two million, one hundred ten thousand, one hundred".