102102100210010 has 16 divisors (see below), whose sum is σ = 183874897806696. Its totient is φ = 40820591766528.

The previous prime is 102102100209899. The next prime is 102102100210021. The reversal of 102102100210010 is 10012001201201.

It can be written as a sum of positive squares in 4 ways, for example, as 86906004430921 + 15196095779089 = 9322339^2 + 3898217^2 .

It is a super-2 number, since 2×102102100210010² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102102100209973 and 102102100210000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2531018507 + ... + 2531058846.

Almost surely, 2^{102102100210010} is an apocalyptic number.

102102100210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102102100210010 is a deficient number, since it is larger than the sum of its proper divisors (81772797596686).

102102100210010 is a wasteful number, since it uses less digits than its factorization.

102102100210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5062079377.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102102100210010 its reverse (10012001201201), we get a palindrome (112114101411211).

The spelling of 102102100210010 in words is "one hundred two trillion, one hundred two billion, one hundred million, two hundred ten thousand, ten".