10202002100 has 18 divisors (see below), whose sum is σ = 22138344774. Its totient is φ = 4080800800.

The previous prime is 10202002099. The next prime is 10202002117. The reversal of 10202002100 is 120020201.

It can be written as a sum of positive squares in 3 ways, for example, as 960256144 + 9241745956 = 30988^2 + 96134^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51009911 + ... + 51010110.

It is an arithmetic number, because the mean of its divisors is an integer number (1229908043).

Almost surely, 2^10202002100 is an apocalyptic number.

10202002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202002100 is an abundant number, since it is smaller than the sum of its proper divisors (11936342674).

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

10202002100 is a wasteful number, since it uses less digits than its factorization.

10202002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102020035 (or 102020028 counting only the distinct ones).

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

Adding to 10202002100 its reverse (120020201), we get a palindrome (10322022301).

The spelling of 10202002100 in words is "ten billion, two hundred two million, two thousand, one hundred".