10212121100100 has 432 divisors, whose sum is σ = 32316732846720. Its totient is φ = 2486511820800.

The previous prime is 10212121100003. The next prime is 10212121100131. The reversal of 10212121100100 is 100112121201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1981779124 + ... + 1981784276.

It is an arithmetic number, because the mean of its divisors is an integer number (74807251960).

Almost surely, 2^{10212121100100} is an apocalyptic number.

10212121100100 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 10212121100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16158366423360).

10212121100100 is an abundant number, since it is smaller than the sum of its proper divisors (22104611746620).

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

10212121100100 is a wasteful number, since it uses less digits than its factorization.

10212121100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5868 (or 5842 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10212121100100 its reverse (100112121201), we get a palindrome (10312233221301).

The spelling of 10212121100100 in words is "ten trillion, two hundred twelve billion, one hundred twenty-one million, one hundred thousand, one hundred".