212210100200120 has 128 divisors (see below), whose sum is σ = 528690112473600. Its totient is φ = 76010316096000.

The previous prime is 212210100200113. The next prime is 212210100200141. The reversal of 212210100200120 is 21002001012212.

It is a junction number, because it is equal to n+sod(n) for n = 212210100200095 and 212210100200104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440514746 + ... + 440996214.

It is an arithmetic number, because the mean of its divisors is an integer number (4130391503700).

Almost surely, 2^{212210100200120} is an apocalyptic number.

212210100200120 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 212210100200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264345056236800).

212210100200120 is an abundant number, since it is smaller than the sum of its proper divisors (316480012273480).

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

212210100200120 is a wasteful number, since it uses less digits than its factorization.

212210100200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496509 (or 496505 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212210100200120 its reverse (21002001012212), we get a palindrome (233212101212332).

The spelling of 212210100200120 in words is "two hundred twelve trillion, two hundred ten billion, one hundred million, two hundred thousand, one hundred twenty".