102100200010 has 16 divisors (see below), whose sum is σ = 183784327272. Its totient is φ = 40839198400.

The previous prime is 102100199987. The next prime is 102100200017. The reversal of 102100200010 is 10002001201.

It can be written as a sum of positive squares in 4 ways, for example, as 71586748249 + 30513451761 = 267557^2 + 174681^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102100199966 and 102100200002.

It is not an unprimeable number, because it can be changed into a prime (102100200017) 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 7 ways as a sum of consecutive naturals, for example, 585120 + ... + 739300.

Almost surely, 2^102100200010 is an apocalyptic number.

102100200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102100200010 is a deficient number, since it is larger than the sum of its proper divisors (81684127262).

102100200010 is a wasteful number, since it uses less digits than its factorization.

102100200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220409.

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

Adding to 102100200010 its reverse (10002001201), we get a palindrome (112102201211).

The spelling of 102100200010 in words is "one hundred two billion, one hundred million, two hundred thousand, ten".