210100012122100 has 18 divisors (see below), whose sum is σ = 455917026305174. Its totient is φ = 84040004848800.

The previous prime is 210100012122023. The next prime is 210100012122107. The reversal of 210100012122100 is 1221210001012.

It can be written as a sum of positive squares in 3 ways, for example, as 31931495433616 + 178168516688484 = 5650796^2 + 13347978^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210100012122107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1050500060511 + ... + 1050500060710.

Almost surely, 2^{210100012122100} is an apocalyptic number.

210100012122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210100012122100 is an abundant number, since it is smaller than the sum of its proper divisors (245817014183074).

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

210100012122100 is a wasteful number, since it uses less digits than its factorization.

210100012122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101000121235 (or 2101000121228 counting only the distinct ones).

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

Adding to 210100012122100 its reverse (1221210001012), we get a palindrome (211321222123112).

The spelling of 210100012122100 in words is "two hundred ten trillion, one hundred billion, twelve million, one hundred twenty-two thousand, one hundred".