212101213120 has 112 divisors (see below), whose sum is σ = 517673405088. Its totient is φ = 82725027840.

The previous prime is 212101213097. The next prime is 212101213141. The reversal of 212101213120 is 21312101212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 212101213094 and 212101213103.

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, 32363764 + ... + 32370316.

It is an arithmetic number, because the mean of its divisors is an integer number (4622083974).

Almost surely, 2^212101213120 is an apocalyptic number.

212101213120 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 212101213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258836702544).

212101213120 is an abundant number, since it is smaller than the sum of its proper divisors (305572191968).

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

212101213120 is a wasteful number, since it uses less digits than its factorization.

212101213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9078 (or 9068 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 212101213120 its reverse (21312101212), we get a palindrome (233413314332).

The spelling of 212101213120 in words is "two hundred twelve billion, one hundred one million, two hundred thirteen thousand, one hundred twenty".