122101022201220 has 144 divisors (see below), whose sum is σ = 402758666292528. Its totient is φ = 29816720179200.

The previous prime is 122101022201219. The next prime is 122101022201281. The reversal of 122101022201220 is 22102220101221.

It is a happy number.

122101022201220 is a `hidden beast` number, since 1 + 2 + 210 + 10 + 2 + 220 + 1 + 220 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 303664919364 + 121797357281856 = 551058^2 + 11036184^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122101022201193 and 122101022201202.

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, 539106981 + ... + 539333420.

It is an arithmetic number, because the mean of its divisors is an integer number (2796935182587).

Almost surely, 2^{122101022201220} is an apocalyptic number.

122101022201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101022201220 is an abundant number, since it is smaller than the sum of its proper divisors (280657644091308).

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

122101022201220 is a wasteful number, since it uses less digits than its factorization.

122101022201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078440470 (or 1078440465 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122101022201220 its reverse (22102220101221), we get a palindrome (144203242302441).

The spelling of 122101022201220 in words is "one hundred twenty-two trillion, one hundred one billion, twenty-two million, two hundred one thousand, two hundred twenty".