212242403100 has 288 divisors, whose sum is σ = 760186344960. Its totient is φ = 44520975360.

The previous prime is 212242403089. The next prime is 212242403101. The reversal of 212242403100 is 1304242212.

It is a super-2 number, since 2×212242403100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212242403101) 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 95 ways as a sum of consecutive naturals, for example, 4700431 + ... + 4745369.

It is an arithmetic number, because the mean of its divisors is an integer number (2639535920).

Almost surely, 2^212242403100 is an apocalyptic number.

212242403100 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 212242403100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380093172480).

212242403100 is an abundant number, since it is smaller than the sum of its proper divisors (547943941860).

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

212242403100 is a wasteful number, since it uses less digits than its factorization.

212242403100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45149 (or 45142 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 212242403100 its reverse (1304242212), we get a palindrome (213546645312).

The spelling of 212242403100 in words is "two hundred twelve billion, two hundred forty-two million, four hundred three thousand, one hundred".