1002100200100 has 18 divisors (see below), whose sum is σ = 2174557434434. Its totient is φ = 400840080000.

The previous prime is 1002100200071. The next prime is 1002100200107. The reversal of 1002100200100 is 10020012001.

It can be written as a sum of positive squares in 3 ways, for example, as 301223150244 + 700877049856 = 548838^2 + 837184^2 .

It is a super-2 number, since 2×1002100200100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1002100200107) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5010500901 + ... + 5010501100.

Almost surely, 2^{1002100200100} is an apocalyptic number.

1002100200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002100200100 is an abundant number, since it is smaller than the sum of its proper divisors (1172457234334).

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

1002100200100 is a wasteful number, since it uses less digits than its factorization.

1002100200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10021002015 (or 10021002008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1002100200100 its reverse (10020012001), we get a palindrome (1012120212101).

The spelling of 1002100200100 in words is "one trillion, two billion, one hundred million, two hundred thousand, one hundred".