210002112112100 has 288 divisors, whose sum is σ = 569714858582016. Its totient is φ = 65275224537600.

The previous prime is 210002112112099. The next prime is 210002112112159. The reversal of 210002112112100 is 1211211200012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 6356556782 + ... + 6356589818.

Almost surely, 2^{210002112112100} is an apocalyptic number.

210002112112100 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 210002112112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284857429291008).

210002112112100 is an abundant number, since it is smaller than the sum of its proper divisors (359712746469916).

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

210002112112100 is a wasteful number, since it uses less digits than its factorization.

210002112112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35315 (or 35308 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 210002112112100 its reverse (1211211200012), we get a palindrome (211213323312112).

The spelling of 210002112112100 in words is "two hundred ten trillion, two billion, one hundred twelve million, one hundred twelve thousand, one hundred".