122202100020 has 768 divisors, whose sum is σ = 476641492992. Its totient is φ = 22574039040.

The previous prime is 122202099997. The next prime is 122202100021. The reversal of 122202100020 is 20001202221.

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 = 122202099969 and 122202100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122202100021) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 282221724 + ... + 282222156.

It is an arithmetic number, because the mean of its divisors is an integer number (620626944).

Almost surely, 2^122202100020 is an apocalyptic number.

122202100020 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 122202100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238320746496).

122202100020 is an abundant number, since it is smaller than the sum of its proper divisors (354439392972).

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

122202100020 is a wasteful number, since it uses less digits than its factorization.

122202100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 638 counting only the distinct ones).

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

Adding to 122202100020 its reverse (20001202221), we get a palindrome (142203302241).

It can be divided in two parts, 122202 and 100020, that added together give a palindrome (222222).

The spelling of 122202100020 in words is "one hundred twenty-two billion, two hundred two million, one hundred thousand, twenty".