122221002110020 has 96 divisors (see below), whose sum is σ = 294834969313920. Its totient is φ = 42090404336640.

The previous prime is 122221002109957. The next prime is 122221002110029. The reversal of 122221002110020 is 20011200122221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122221002109976 and 122221002110003.

It is not an unprimeable number, because it can be changed into a prime (122221002110029) 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, 7181152 + ... + 17204968.

It is an arithmetic number, because the mean of its divisors is an integer number (3071197597020).

Almost surely, 2^{122221002110020} is an apocalyptic number.

122221002110020 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 122221002110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147417484656960).

122221002110020 is an abundant number, since it is smaller than the sum of its proper divisors (172613967203900).

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

122221002110020 is a wasteful number, since it uses less digits than its factorization.

122221002110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10026773 (or 10026771 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122221002110020 its reverse (20011200122221), we get a palindrome (142232202232241).

The spelling of 122221002110020 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, two million, one hundred ten thousand, twenty".