10210202002100 has 18 divisors (see below), whose sum is σ = 22156138344774. Its totient is φ = 4084080800800.

The previous prime is 10210202001959. The next prime is 10210202002111. The reversal of 10210202002100 is 120020201201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2812879082896 + 7397322919204 = 1677164^2 + 2719802^2 .

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 5 ways as a sum of consecutive naturals, for example, 51051009911 + ... + 51051010110.

Almost surely, 2^{10210202002100} is an apocalyptic number.

10210202002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210202002100 is an abundant number, since it is smaller than the sum of its proper divisors (11945936342674).

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

10210202002100 is a wasteful number, since it uses less digits than its factorization.

10210202002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102102020035 (or 102102020028 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10210202002100 its reverse (120020201201), we get a palindrome (10330222203301).

The spelling of 10210202002100 in words is "ten trillion, two hundred ten billion, two hundred two million, two thousand, one hundred".