10122110212200 has 192 divisors, whose sum is σ = 36593052240000. Its totient is φ = 2313625144320.

The previous prime is 10122110212177. The next prime is 10122110212217. The reversal of 10122110212200 is 221201122101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10122110212200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24386305 + ... + 24797904.

It is an arithmetic number, because the mean of its divisors is an integer number (190588813750).

Almost surely, 2^{10122110212200} is an apocalyptic number.

10122110212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122110212200 is an abundant number, since it is smaller than the sum of its proper divisors (26470942027800).

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

10122110212200 is a wasteful number, since it uses less digits than its factorization.

10122110212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49184249 (or 49184226 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10122110212200 its reverse (221201122101), we get a palindrome (10343311334301).

Subtracting from 10122110212200 its reverse (221201122101), we obtain a palindrome (9900909090099).

The spelling of 10122110212200 in words is "ten trillion, one hundred twenty-two billion, one hundred ten million, two hundred twelve thousand, two hundred".