1002002102010 has 576 divisors, whose sum is σ = 3304947260160. Its totient is φ = 208757606400.

The previous prime is 1002002101897. The next prime is 1002002102071. The reversal of 1002002102010 is 102012002001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002002101983 and 1002002102001.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2449882686 + ... + 2449883094.

It is an arithmetic number, because the mean of its divisors is an integer number (5737755660).

Almost surely, 2^{1002002102010} is an apocalyptic number.

1002002102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002002102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652473630080).

1002002102010 is an abundant number, since it is smaller than the sum of its proper divisors (2302945158150).

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

1002002102010 is a wasteful number, since it uses less digits than its factorization.

1002002102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1002002102010 its reverse (102012002001), we get a palindrome (1104014104011).

The spelling of 1002002102010 in words is "one trillion, two billion, two million, one hundred two thousand, ten".