212101122120 has 64 divisors (see below), whose sum is σ = 653500768320. Its totient is φ = 55031641344.

The previous prime is 212101122109. The next prime is 212101122127. The reversal of 212101122120 is 21221101212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212101122120.

It is not an unprimeable number, because it can be changed into a prime (212101122127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23880822 + ... + 23889701.

It is an arithmetic number, because the mean of its divisors is an integer number (10210949505).

Almost surely, 2^212101122120 is an apocalyptic number.

212101122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101122120 is an abundant number, since it is smaller than the sum of its proper divisors (441399646200).

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

212101122120 is a wasteful number, since it uses less digits than its factorization.

212101122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47770574 (or 47770570 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212101122120 its reverse (21221101212), we get a palindrome (233322223332).

The spelling of 212101122120 in words is "two hundred twelve billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty".