102201100010 has 16 divisors (see below), whose sum is σ = 184285297800. Its totient is φ = 40808591616.

The previous prime is 102201100003. The next prime is 102201100013. The reversal of 102201100010 is 10001102201.

102201100010 is digitally balanced in base 3, 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 4 ways, for example, as 84430343761 + 17770756249 = 290569^2 + 133307^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102201100013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8975075 + ... + 8986454.

Almost surely, 2^102201100010 is an apocalyptic number.

102201100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102201100010 is a deficient number, since it is larger than the sum of its proper divisors (82084197790).

102201100010 is a wasteful number, since it uses less digits than its factorization.

102201100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17962105.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102201100010 its reverse (10001102201), we get a palindrome (112202202211).

The spelling of 102201100010 in words is "one hundred two billion, two hundred one million, one hundred thousand, ten".