122101133220 has 288 divisors, whose sum is σ = 414592214400. Its totient is φ = 28829952000.

The previous prime is 122101133213. The next prime is 122101133233. The reversal of 122101133220 is 22331101221.

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 = 122101133193 and 122101133202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78825006 + ... + 78826554.

It is an arithmetic number, because the mean of its divisors is an integer number (1439556300).

Almost surely, 2^122101133220 is an apocalyptic number.

122101133220 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 122101133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207296107200).

122101133220 is an abundant number, since it is smaller than the sum of its proper divisors (292491081180).

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

122101133220 is a wasteful number, since it uses less digits than its factorization.

122101133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122101133220 its reverse (22331101221), we get a palindrome (144432234441).

The spelling of 122101133220 in words is "one hundred twenty-two billion, one hundred one million, one hundred thirty-three thousand, two hundred twenty".