122201102000 has 80 divisors (see below), whose sum is σ = 295667584992. Its totient is φ = 48849785600.

The previous prime is 122201101963. The next prime is 122201102011. The reversal of 122201102000 is 201102221.

It is a happy number.

122201102000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3315674 + ... + 3352326.

Almost surely, 2^122201102000 is an apocalyptic number.

122201102000 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 122201102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147833792496).

122201102000 is an abundant number, since it is smaller than the sum of its proper divisors (173466482992).

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

122201102000 is a wasteful number, since it uses less digits than its factorization.

122201102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38343 (or 38327 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122201102000 its reverse (201102221), we get a palindrome (122402204221).

The spelling of 122201102000 in words is "one hundred twenty-two billion, two hundred one million, one hundred two thousand".