122101022220100 has 144 divisors (see below), whose sum is σ = 330344696586240. Its totient is φ = 38056778179200.

The previous prime is 122101022220071. The next prime is 122101022220103. The reversal of 122101022220100 is 1022220101221.

It is a happy number.

122101022220100 is digitally balanced in base 3, 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 (122101022220103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 584841531 + ... + 585050269.

It is an arithmetic number, because the mean of its divisors is an integer number (2294060392960).

Almost surely, 2^{122101022220100} is an apocalyptic number.

122101022220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101022220100 is an abundant number, since it is smaller than the sum of its proper divisors (208243674366140).

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

122101022220100 is a wasteful number, since it uses less digits than its factorization.

122101022220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284738 (or 284731 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122101022220100 its reverse (1022220101221), we get a palindrome (123123242321321).

The spelling of 122101022220100 in words is "one hundred twenty-two trillion, one hundred one billion, twenty-two million, two hundred twenty thousand, one hundred".