100212100100210 has 64 divisors (see below), whose sum is σ = 209655928627200. Its totient is φ = 33774276341952.

The previous prime is 100212100100173. The next prime is 100212100100213. The reversal of 100212100100210 is 12001001212001.

It is a junction number, because it is equal to n+sod(n) for n = 100212100100191 and 100212100100200.

It is not an unprimeable number, because it can be changed into a prime (100212100100213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77494199 + ... + 78776741.

It is an arithmetic number, because the mean of its divisors is an integer number (3275873884800).

Almost surely, 2^{100212100100210} is an apocalyptic number.

100212100100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100212100100210 is an abundant number, since it is smaller than the sum of its proper divisors (109443828526990).

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

100212100100210 is a wasteful number, since it uses less digits than its factorization.

100212100100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301535.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100212100100210 its reverse (12001001212001), we get a palindrome (112213101312211).

The spelling of 100212100100210 in words is "one hundred trillion, two hundred twelve billion, one hundred million, one hundred thousand, two hundred ten".