212122101201100 has 72 divisors (see below), whose sum is σ = 467862065255088. Its totient is φ = 83455891756800.

The previous prime is 212122101201077. The next prime is 212122101201103. The reversal of 212122101201100 is 1102101221212.

212122101201100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212122101201103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270772167 + ... + 271554433.

It is an arithmetic number, because the mean of its divisors is an integer number (6498084239654).

Almost surely, 2^{212122101201100} is an apocalyptic number.

212122101201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122101201100 is an abundant number, since it is smaller than the sum of its proper divisors (255739964053988).

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

212122101201100 is a wasteful number, since it uses less digits than its factorization.

212122101201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826795 (or 826788 counting only the distinct ones).

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

Adding to 212122101201100 its reverse (1102101221212), we get a palindrome (213224202422312).

The spelling of 212122101201100 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred one million, two hundred one thousand, one hundred".