1002010102100 has 144 divisors (see below), whose sum is σ = 2518206074496. Its totient is φ = 338976960000.

The previous prime is 1002010102061. The next prime is 1002010102117. The reversal of 1002010102100 is 12010102001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20690915 + ... + 20739285.

It is an arithmetic number, because the mean of its divisors is an integer number (17487542184).

Almost surely, 2^{1002010102100} is an apocalyptic number.

1002010102100 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 1002010102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259103037248).

1002010102100 is an abundant number, since it is smaller than the sum of its proper divisors (1516195972396).

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

1002010102100 is a wasteful number, since it uses less digits than its factorization.

1002010102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48786 (or 48779 counting only the distinct ones).

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

Adding to 1002010102100 its reverse (12010102001), we get a palindrome (1014020204101).

Subtracting from 1002010102100 its reverse (12010102001), we obtain a palindrome (990000000099).

The spelling of 1002010102100 in words is "one trillion, two billion, ten million, one hundred two thousand, one hundred".