100210202200212 has 48 divisors (see below), whose sum is σ = 252293572907712. Its totient is φ = 30774726178560.

The previous prime is 100210202200181. The next prime is 100210202200243. The reversal of 100210202200212 is 212002202012001.

It is an interprime number because it is at equal distance from previous prime (100210202200181) and next prime (100210202200243).

It is a junction number, because it is equal to n+sod(n) for n = 100210202200191 and 100210202200200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 616399618 + ... + 616562169.

It is an arithmetic number, because the mean of its divisors is an integer number (5256116102244).

Almost surely, 2^{100210202200212} is an apocalyptic number.

100210202200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100210202200212 is an abundant number, since it is smaller than the sum of its proper divisors (152083370707500).

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

100210202200212 is a wasteful number, since it uses less digits than its factorization.

100210202200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232962328 (or 1232962326 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100210202200212 its reverse (212002202012001), we get a palindrome (312212404212213).

The spelling of 100210202200212 in words is "one hundred trillion, two hundred ten billion, two hundred two million, two hundred thousand, two hundred twelve".