210122112201100 has 144 divisors (see below), whose sum is σ = 541651194604800. Its totient is φ = 69890476320000.

The previous prime is 210122112201083. The next prime is 210122112201191. The reversal of 210122112201100 is 1102211221012.

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 47 ways as a sum of consecutive naturals, for example, 172733376 + ... + 173945575.

It is an arithmetic number, because the mean of its divisors is an integer number (3761466629200).

Almost surely, 2^{210122112201100} is an apocalyptic number.

210122112201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210122112201100 is an abundant number, since it is smaller than the sum of its proper divisors (331529082403700).

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

210122112201100 is a wasteful number, since it uses less digits than its factorization.

210122112201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346679024 (or 346679017 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 210122112201100 its reverse (1102211221012), we get a palindrome (211224323422112).

It can be divided in two parts, 21012 and 2112201100, that added together give a palindrome (2112222112).

The spelling of 210122112201100 in words is "two hundred ten trillion, one hundred twenty-two billion, one hundred twelve million, two hundred one thousand, one hundred".