212113102120 has 192 divisors, whose sum is σ = 517842642240. Its totient is φ = 78140160000.

The previous prime is 212113102099. The next prime is 212113102121. The reversal of 212113102120 is 21201311212.

It is a junction number, because it is equal to n+sod(n) for n = 212113102094 and 212113102103.

It is not an unprimeable number, because it can be changed into a prime (212113102121) 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, 155850240 + ... + 155851600.

It is an arithmetic number, because the mean of its divisors is an integer number (2697097095).

Almost surely, 2^212113102120 is an apocalyptic number.

212113102120 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 212113102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258921321120).

212113102120 is an abundant number, since it is smaller than the sum of its proper divisors (305729540120).

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

212113102120 is a wasteful number, since it uses less digits than its factorization.

212113102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1681 counting only the distinct ones).

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

Adding to 212113102120 its reverse (21201311212), we get a palindrome (233314413332).

The spelling of 212113102120 in words is "two hundred twelve billion, one hundred thirteen million, one hundred two thousand, one hundred twenty".