102002100010 has 16 divisors (see below), whose sum is σ = 194404002696. Its totient is φ = 38400790528.

The previous prime is 102002100007. The next prime is 102002100029. The reversal of 102002100010 is 10001200201.

It can be written as a sum of positive squares in 4 ways, for example, as 84246804009 + 17755296001 = 290253^2 + 133249^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102002099966 and 102002100002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300006007 + ... + 300006346.

Almost surely, 2^102002100010 is an apocalyptic number.

102002100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102002100010 is a deficient number, since it is larger than the sum of its proper divisors (92401902686).

102002100010 is a wasteful number, since it uses less digits than its factorization.

102002100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600012377.

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

Adding to 102002100010 its reverse (10001200201), we get a palindrome (112003300211).

The spelling of 102002100010 in words is "one hundred two billion, two million, one hundred thousand, ten".