10212102212100 has 144 divisors (see below), whose sum is σ = 29674711946880. Its totient is φ = 2711461939200.

The previous prime is 10212102212099. The next prime is 10212102212101. The reversal of 10212102212100 is 121220121201.

It is an interprime number because it is at equal distance from previous prime (10212102212099) and next prime (10212102212101).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10212102212100.

It is not an unprimeable number, because it can be changed into a prime (10212102212101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 702676434 + ... + 702690966.

It is an arithmetic number, because the mean of its divisors is an integer number (206074388520).

Almost surely, 2^{10212102212100} is an apocalyptic number.

10212102212100 is a gapful number since it is divisible by the number (10) 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 10212102212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14837355973440).

10212102212100 is an abundant number, since it is smaller than the sum of its proper divisors (19462609734780).

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

10212102212100 is a wasteful number, since it uses less digits than its factorization.

10212102212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24510 (or 24503 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10212102212100 its reverse (121220121201), we get a palindrome (10333322333301).

The spelling of 10212102212100 in words is "ten trillion, two hundred twelve billion, one hundred two million, two hundred twelve thousand, one hundred".