212211210100120 has 192 divisors, whose sum is σ = 600013507867200. Its totient is φ = 66120604492800.

The previous prime is 212211210100111. The next prime is 212211210100187. The reversal of 212211210100120 is 21001012112212.

It is a junction number, because it is equal to n+sod(n) for n = 212211210100094 and 212211210100103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95836026 + ... + 98025334.

It is an arithmetic number, because the mean of its divisors is an integer number (3125070353475).

Almost surely, 2^{212211210100120} is an apocalyptic number.

212211210100120 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 212211210100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300006753933600).

212211210100120 is an abundant number, since it is smaller than the sum of its proper divisors (387802297767080).

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

212211210100120 is a wasteful number, since it uses less digits than its factorization.

212211210100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192210 (or 2192195 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212211210100120 its reverse (21001012112212), we get a palindrome (233212222212332).

The spelling of 212211210100120 in words is "two hundred twelve trillion, two hundred eleven billion, two hundred ten million, one hundred thousand, one hundred twenty".