1002100110010 has 8 divisors (see below), whose sum is σ = 1803780198036. Its totient is φ = 400840044000.

The previous prime is 1002100109999. The next prime is 1002100110017. The reversal of 1002100110010 is 100110012001.

1002100110010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 952070499081 + 50029610929 = 975741^2 + 223673^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a junction number, because it is equal to n+sod(n) for n = 1002100109975 and 1002100110002.

It is not an unprimeable number, because it can be changed into a prime (1002100110017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50105005491 + ... + 50105005510.

Almost surely, 2^{1002100110010} is an apocalyptic number.

1002100110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002100110010 is a deficient number, since it is larger than the sum of its proper divisors (801680088026).

1002100110010 is a wasteful number, since it uses less digits than its factorization.

1002100110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100210011008.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1002100110010 its reverse (100110012001), we get a palindrome (1102210122011).

The spelling of 1002100110010 in words is "one trillion, two billion, one hundred million, one hundred ten thousand, ten".