122101122220220 has 192 divisors, whose sum is σ = 303225708183552. Its totient is φ = 40715668224000.

The previous prime is 122101122220213. The next prime is 122101122220223. The reversal of 122101122220220 is 22022221101221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122101122220192 and 122101122220201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101122220223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 265781957 + ... + 266240963.

It is an arithmetic number, because the mean of its divisors is an integer number (1579300563456).

Almost surely, 2^{122101122220220} is an apocalyptic number.

122101122220220 is a gapful number since it is divisible by the number (10) 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 122101122220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151612854091776).

122101122220220 is an abundant number, since it is smaller than the sum of its proper divisors (181124585963332).

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

122101122220220 is a wasteful number, since it uses less digits than its factorization.

122101122220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459652 (or 459650 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122101122220220 its reverse (22022221101221), we get a palindrome (144123343321441).

The spelling of 122101122220220 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred twenty-two million, two hundred twenty thousand, two hundred twenty".