210122212120100 has 144 divisors (see below), whose sum is σ = 522957616070400. Its totient is φ = 71785586296320.

The previous prime is 210122212120027. The next prime is 210122212120231. The reversal of 210122212120100 is 1021212221012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1482597041 + ... + 1482738759.

It is an arithmetic number, because the mean of its divisors is an integer number (3631650111600).

Almost surely, 2^{210122212120100} is an apocalyptic number.

210122212120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210122212120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261478808035200).

210122212120100 is an abundant number, since it is smaller than the sum of its proper divisors (312835403950300).

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

210122212120100 is a wasteful number, since it uses less digits than its factorization.

210122212120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149262 (or 149255 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 210122212120100 its reverse (1021212221012), we get a palindrome (211143424341112).

The spelling of 210122212120100 in words is "two hundred ten trillion, one hundred twenty-two billion, two hundred twelve million, one hundred twenty thousand, one hundred".