122101001220 has 192 divisors, whose sum is σ = 384275840256. Its totient is φ = 28707563520.

The previous prime is 122101001189. The next prime is 122101001233. The reversal of 122101001220 is 22100101221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122101001196 and 122101001205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7733254 + ... + 7749026.

It is an arithmetic number, because the mean of its divisors is an integer number (2001436668).

Almost surely, 2^122101001220 is an apocalyptic number.

122101001220 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 122101001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192137920128).

122101001220 is an abundant number, since it is smaller than the sum of its proper divisors (262174839036).

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

122101001220 is a wasteful number, since it uses less digits than its factorization.

122101001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16150 (or 16148 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122101001220 its reverse (22100101221), we get a palindrome (144201102441).

It can be divided in two parts, 122101001 and 220, that added together give a palindrome (122101221).

The spelling of 122101001220 in words is "one hundred twenty-two billion, one hundred one million, one thousand, two hundred twenty".