10102110120200 has 96 divisors (see below), whose sum is σ = 26847871536960. Its totient is φ = 3462919737600.

The previous prime is 10102110120169. The next prime is 10102110120227. The reversal of 10102110120200 is 202101120101.

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 23 ways as a sum of consecutive naturals, for example, 6679619 + ... + 8051181.

It is an arithmetic number, because the mean of its divisors is an integer number (279665328510).

Almost surely, 2^{10102110120200} is an apocalyptic number.

10102110120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102110120200 is an abundant number, since it is smaller than the sum of its proper divisors (16745761416760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10102110120200 is a wasteful number, since it uses less digits than its factorization.

10102110120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376847 (or 1376838 counting only the distinct ones).

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

Adding to 10102110120200 its reverse (202101120101), we get a palindrome (10304211240301).

Subtracting from 10102110120200 its reverse (202101120101), we obtain a palindrome (9900009000099).

The spelling of 10102110120200 in words is "ten trillion, one hundred two billion, one hundred ten million, one hundred twenty thousand, two hundred".