122002100220 has 1728 divisors, whose sum is σ = 520365662208. Its totient is φ = 21076070400.

The previous prime is 122002100219. The next prime is 122002100359. The reversal of 122002100220 is 22001200221.

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 = 122002100196 and 122002100205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3297354042 + ... + 3297354078.

It is an arithmetic number, because the mean of its divisors is an integer number (301137536).

Almost surely, 2^122002100220 is an apocalyptic number.

122002100220 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 122002100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260182831104).

122002100220 is an abundant number, since it is smaller than the sum of its proper divisors (398363561988).

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

122002100220 is a wasteful number, since it uses less digits than its factorization.

122002100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122002100220 its reverse (22001200221), we get a palindrome (144003300441).

It can be divided in two parts, 122002 and 100220, that added together give a palindrome (222222).

The spelling of 122002100220 in words is "one hundred twenty-two billion, two million, one hundred thousand, two hundred twenty".