10102112200210 has 64 divisors (see below), whose sum is σ = 19629401004000. Its totient is φ = 3728976556032.

The previous prime is 10102112200139. The next prime is 10102112200223. The reversal of 10102112200210 is 1200221120101.

It can be written as a sum of positive squares in 16 ways, for example, as 2671815815761 + 7430296384449 = 1634569^2 + 2725857^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13594576 + ... + 14318404.

Almost surely, 2^{10102112200210} is an apocalyptic number.

10102112200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10102112200210 is a deficient number, since it is larger than the sum of its proper divisors (9527288803790).

10102112200210 is a wasteful number, since it uses less digits than its factorization.

10102112200210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725455.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10102112200210 its reverse (1200221120101), we get a palindrome (11302333320311).

The spelling of 10102112200210 in words is "ten trillion, one hundred two billion, one hundred twelve million, two hundred thousand, two hundred ten".