122101101120 has 224 divisors, whose sum is σ = 398753307648. Its totient is φ = 31632187392.

The previous prime is 122101101071. The next prime is 122101101127. The reversal of 122101101120 is 21101101221.

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 = 122101101096 and 122101101105.

It is not an unprimeable number, because it can be changed into a prime (122101101127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27454737 + ... + 27459183.

Almost surely, 2^122101101120 is an apocalyptic number.

122101101120 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 122101101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199376653824).

122101101120 is an abundant number, since it is smaller than the sum of its proper divisors (276652206528).

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

122101101120 is a wasteful number, since it uses less digits than its factorization.

122101101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5277 (or 5267 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122101101120 its reverse (21101101221), we get a palindrome (143202202341).

It can be divided in two parts, 122101101 and 120, that added together give a palindrome (122101221).

The spelling of 122101101120 in words is "one hundred twenty-two billion, one hundred one million, one hundred one thousand, one hundred twenty".